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Finding the Third Proportional to 478,749 and 728,070

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Solution

The third proportional to 478,749 and 728,070 is: 1,107,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,749 : 728,070 = 728,070 : x
  2. Step 2: Convert to fraction form
    478,749/728,070 = 728,070/x
  3. Step 3: Cross multiply
    478,749x = 728,070 × 728,070
  4. Step 4: Simplify right side
    478,749x = 530,085,924,900
  5. Step 5: Solve for x
    x = 530,085,924,900/478,749
  6. Step 6: Final answer
    x = 1,107,231.40

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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.