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Finding the Third Proportional to 140,900.13 and 312,184.76

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Solution

The third proportional to 140,900.13 and 312,184.76 is: 691,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,900.13 : 312,184.76 = 312,184.76 : x
  2. Step 2: Convert to fraction form
    140,900.13/312,184.76 = 312,184.76/x
  3. Step 3: Cross multiply
    140,900.13x = 312,184.76 × 312,184.76
  4. Step 4: Simplify right side
    140,900.13x = 97,459,323,010.45
  5. Step 5: Solve for x
    x = 97,459,323,010.45/140,900.13
  6. Step 6: Final answer
    x = 691,690.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.