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Finding the Third Proportional to 257,487 and 377,013

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Solution

The third proportional to 257,487 and 377,013 is: 552,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,487 : 377,013 = 377,013 : x
  2. Step 2: Convert to fraction form
    257,487/377,013 = 377,013/x
  3. Step 3: Cross multiply
    257,487x = 377,013 × 377,013
  4. Step 4: Simplify right side
    257,487x = 142,138,802,169
  5. Step 5: Solve for x
    x = 142,138,802,169/257,487
  6. Step 6: Final answer
    x = 552,023.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.