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Finding the Third Proportional to 90,730.13 and 139,421.25

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Solution

The third proportional to 90,730.13 and 139,421.25 is: 214,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,730.13 : 139,421.25 = 139,421.25 : x
  2. Step 2: Convert to fraction form
    90,730.13/139,421.25 = 139,421.25/x
  3. Step 3: Cross multiply
    90,730.13x = 139,421.25 × 139,421.25
  4. Step 4: Simplify right side
    90,730.13x = 19,438,284,951.56
  5. Step 5: Solve for x
    x = 19,438,284,951.56/90,730.13
  6. Step 6: Final answer
    x = 214,242.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.