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Finding the Third Proportional to 257,376 and 371,297

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Solution

The third proportional to 257,376 and 371,297 is: 535,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,376 : 371,297 = 371,297 : x
  2. Step 2: Convert to fraction form
    257,376/371,297 = 371,297/x
  3. Step 3: Cross multiply
    257,376x = 371,297 × 371,297
  4. Step 4: Simplify right side
    257,376x = 137,861,462,209
  5. Step 5: Solve for x
    x = 137,861,462,209/257,376
  6. Step 6: Final answer
    x = 535,642.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.