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Finding the Third Proportional to 145,941 and 316,792

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Solution

The third proportional to 145,941 and 316,792 is: 687,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,941 : 316,792 = 316,792 : x
  2. Step 2: Convert to fraction form
    145,941/316,792 = 316,792/x
  3. Step 3: Cross multiply
    145,941x = 316,792 × 316,792
  4. Step 4: Simplify right side
    145,941x = 100,357,171,264
  5. Step 5: Solve for x
    x = 100,357,171,264/145,941
  6. Step 6: Final answer
    x = 687,655.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.