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Finding the Third Proportional to 385,434 and 565,553

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Solution

The third proportional to 385,434 and 565,553 is: 829,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,434 : 565,553 = 565,553 : x
  2. Step 2: Convert to fraction form
    385,434/565,553 = 565,553/x
  3. Step 3: Cross multiply
    385,434x = 565,553 × 565,553
  4. Step 4: Simplify right side
    385,434x = 319,850,195,809
  5. Step 5: Solve for x
    x = 319,850,195,809/385,434
  6. Step 6: Final answer
    x = 829,844.27

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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.