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Finding the Third Proportional to 638,150.91 and 1,377,830.57

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Solution

The third proportional to 638,150.91 and 1,377,830.57 is: 2,974,871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,150.91 : 1,377,830.57 = 1,377,830.57 : x
  2. Step 2: Convert to fraction form
    638,150.91/1,377,830.57 = 1,377,830.57/x
  3. Step 3: Cross multiply
    638,150.91x = 1,377,830.57 × 1,377,830.57
  4. Step 4: Simplify right side
    638,150.91x = 1,898,417,069,723.23
  5. Step 5: Solve for x
    x = 1,898,417,069,723.23/638,150.91
  6. Step 6: Final answer
    x = 2,974,871.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.