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Finding the Third Proportional to 561,476 and 728,502

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Solution

The third proportional to 561,476 and 728,502 is: 945,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,476 : 728,502 = 728,502 : x
  2. Step 2: Convert to fraction form
    561,476/728,502 = 728,502/x
  3. Step 3: Cross multiply
    561,476x = 728,502 × 728,502
  4. Step 4: Simplify right side
    561,476x = 530,715,164,004
  5. Step 5: Solve for x
    x = 530,715,164,004/561,476
  6. Step 6: Final answer
    x = 945,214.34

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.