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Finding the Third Proportional to 384,552,479,070 and 565,309,203,489

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Solution

The third proportional to 384,552,479,070 and 565,309,203,489 is: 831,029,606,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,552,479,070 : 565,309,203,489 = 565,309,203,489 : x
  2. Step 2: Convert to fraction form
    384,552,479,070/565,309,203,489 = 565,309,203,489/x
  3. Step 3: Cross multiply
    384,552,479,070x = 565,309,203,489 × 565,309,203,489
  4. Step 4: Simplify right side
    384,552,479,070x = 319,574,495,549,367,598,972,928
  5. Step 5: Solve for x
    x = 319,574,495,549,367,598,972,928/384,552,479,070
  6. Step 6: Final answer
    x = 831,029,606,992.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.