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Finding the Third Proportional to 478,746 and 728,487

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Solution

The third proportional to 478,746 and 728,487 is: 1,108,507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,746 : 728,487 = 728,487 : x
  2. Step 2: Convert to fraction form
    478,746/728,487 = 728,487/x
  3. Step 3: Cross multiply
    478,746x = 728,487 × 728,487
  4. Step 4: Simplify right side
    478,746x = 530,693,309,169
  5. Step 5: Solve for x
    x = 530,693,309,169/478,746
  6. Step 6: Final answer
    x = 1,108,507.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.