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Finding the Third Proportional to 90,401.06 and 136,421.72

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Solution

The third proportional to 90,401.06 and 136,421.72 is: 205,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,401.06 : 136,421.72 = 136,421.72 : x
  2. Step 2: Convert to fraction form
    90,401.06/136,421.72 = 136,421.72/x
  3. Step 3: Cross multiply
    90,401.06x = 136,421.72 × 136,421.72
  4. Step 4: Simplify right side
    90,401.06x = 18,610,885,346.70
  5. Step 5: Solve for x
    x = 18,610,885,346.70/90,401.06
  6. Step 6: Final answer
    x = 205,870.21

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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.