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Finding the Third Proportional to 142,628.81 and 309,041.06

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Solution

The third proportional to 142,628.81 and 309,041.06 is: 669,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,628.81 : 309,041.06 = 309,041.06 : x
  2. Step 2: Convert to fraction form
    142,628.81/309,041.06 = 309,041.06/x
  3. Step 3: Cross multiply
    142,628.81x = 309,041.06 × 309,041.06
  4. Step 4: Simplify right side
    142,628.81x = 95,506,378,311.13
  5. Step 5: Solve for x
    x = 95,506,378,311.13/142,628.81
  6. Step 6: Final answer
    x = 669,614.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.