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Finding the Third Proportional to 149,866 and 316,460

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Solution

The third proportional to 149,866 and 316,460 is: 668,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,866 : 316,460 = 316,460 : x
  2. Step 2: Convert to fraction form
    149,866/316,460 = 316,460/x
  3. Step 3: Cross multiply
    149,866x = 316,460 × 316,460
  4. Step 4: Simplify right side
    149,866x = 100,146,931,600
  5. Step 5: Solve for x
    x = 100,146,931,600/149,866
  6. Step 6: Final answer
    x = 668,243.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.