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Finding the Third Proportional to 142,975.13 and 309,487.08

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Solution

The third proportional to 142,975.13 and 309,487.08 is: 669,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,975.13 : 309,487.08 = 309,487.08 : x
  2. Step 2: Convert to fraction form
    142,975.13/309,487.08 = 309,487.08/x
  3. Step 3: Cross multiply
    142,975.13x = 309,487.08 × 309,487.08
  4. Step 4: Simplify right side
    142,975.13x = 95,782,251,526.35
  5. Step 5: Solve for x
    x = 95,782,251,526.35/142,975.13
  6. Step 6: Final answer
    x = 669,922.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.