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Finding the Third Proportional to 179,478,369 and 390,403,098

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Solution

The third proportional to 179,478,369 and 390,403,098 is: 849,208,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,478,369 : 390,403,098 = 390,403,098 : x
  2. Step 2: Convert to fraction form
    179,478,369/390,403,098 = 390,403,098/x
  3. Step 3: Cross multiply
    179,478,369x = 390,403,098 × 390,403,098
  4. Step 4: Simplify right side
    179,478,369x = 152,414,578,927,997,600
  5. Step 5: Solve for x
    x = 152,414,578,927,997,600/179,478,369
  6. Step 6: Final answer
    x = 849,208,624.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.