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Finding the Third Proportional to 210,015 and 316,737

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Solution

The third proportional to 210,015 and 316,737 is: 477,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,015 : 316,737 = 316,737 : x
  2. Step 2: Convert to fraction form
    210,015/316,737 = 316,737/x
  3. Step 3: Cross multiply
    210,015x = 316,737 × 316,737
  4. Step 4: Simplify right side
    210,015x = 100,322,327,169
  5. Step 5: Solve for x
    x = 100,322,327,169/210,015
  6. Step 6: Final answer
    x = 477,691.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.