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Finding the Third Proportional to 145,529.16 and 318,109.78

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Solution

The third proportional to 145,529.16 and 318,109.78 is: 695,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,529.16 : 318,109.78 = 318,109.78 : x
  2. Step 2: Convert to fraction form
    145,529.16/318,109.78 = 318,109.78/x
  3. Step 3: Cross multiply
    145,529.16x = 318,109.78 × 318,109.78
  4. Step 4: Simplify right side
    145,529.16x = 101,193,832,926.92
  5. Step 5: Solve for x
    x = 101,193,832,926.92/145,529.16
  6. Step 6: Final answer
    x = 695,350.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.