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Finding the Third Proportional to 145,549 and 316,336

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Solution

The third proportional to 145,549 and 316,336 is: 687,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,549 : 316,336 = 316,336 : x
  2. Step 2: Convert to fraction form
    145,549/316,336 = 316,336/x
  3. Step 3: Cross multiply
    145,549x = 316,336 × 316,336
  4. Step 4: Simplify right side
    145,549x = 100,068,464,896
  5. Step 5: Solve for x
    x = 100,068,464,896/145,549
  6. Step 6: Final answer
    x = 687,524.24

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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.