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Finding the Third Proportional to 231,728 and 507,748

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Solution

The third proportional to 231,728 and 507,748 is: 1,112,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,728 : 507,748 = 507,748 : x
  2. Step 2: Convert to fraction form
    231,728/507,748 = 507,748/x
  3. Step 3: Cross multiply
    231,728x = 507,748 × 507,748
  4. Step 4: Simplify right side
    231,728x = 257,808,031,504
  5. Step 5: Solve for x
    x = 257,808,031,504/231,728
  6. Step 6: Final answer
    x = 1,112,545.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.