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Finding the Third Proportional to 90,138.38 and 137,590.88

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Solution

The third proportional to 90,138.38 and 137,590.88 is: 210,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,138.38 : 137,590.88 = 137,590.88 : x
  2. Step 2: Convert to fraction form
    90,138.38/137,590.88 = 137,590.88/x
  3. Step 3: Cross multiply
    90,138.38x = 137,590.88 × 137,590.88
  4. Step 4: Simplify right side
    90,138.38x = 18,931,248,883.27
  5. Step 5: Solve for x
    x = 18,931,248,883.27/90,138.38
  6. Step 6: Final answer
    x = 210,024.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.