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Finding the Third Proportional to 144,387 and 316,674

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Solution

The third proportional to 144,387 and 316,674 is: 694,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,387 : 316,674 = 316,674 : x
  2. Step 2: Convert to fraction form
    144,387/316,674 = 316,674/x
  3. Step 3: Cross multiply
    144,387x = 316,674 × 316,674
  4. Step 4: Simplify right side
    144,387x = 100,282,422,276
  5. Step 5: Solve for x
    x = 100,282,422,276/144,387
  6. Step 6: Final answer
    x = 694,539.14

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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.