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Finding the Third Proportional to 208,099.13 and 312,176.53

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Solution

The third proportional to 208,099.13 and 312,176.53 is: 468,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,099.13 : 312,176.53 = 312,176.53 : x
  2. Step 2: Convert to fraction form
    208,099.13/312,176.53 = 312,176.53/x
  3. Step 3: Cross multiply
    208,099.13x = 312,176.53 × 312,176.53
  4. Step 4: Simplify right side
    208,099.13x = 97,454,186,663.28
  5. Step 5: Solve for x
    x = 97,454,186,663.28/208,099.13
  6. Step 6: Final answer
    x = 468,306.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.