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Finding the Third Proportional to 78,529.50 and 185,358.38

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Solution

The third proportional to 78,529.50 and 185,358.38 is: 437,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,529.50 : 185,358.38 = 185,358.38 : x
  2. Step 2: Convert to fraction form
    78,529.50/185,358.38 = 185,358.38/x
  3. Step 3: Cross multiply
    78,529.50x = 185,358.38 × 185,358.38
  4. Step 4: Simplify right side
    78,529.50x = 34,357,727,182.64
  5. Step 5: Solve for x
    x = 34,357,727,182.64/78,529.50
  6. Step 6: Final answer
    x = 437,513.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.