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Finding the Third Proportional to 356,332.50 and 522,814.50

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Solution

The third proportional to 356,332.50 and 522,814.50 is: 767,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,332.50 : 522,814.50 = 522,814.50 : x
  2. Step 2: Convert to fraction form
    356,332.50/522,814.50 = 522,814.50/x
  3. Step 3: Cross multiply
    356,332.50x = 522,814.50 × 522,814.50
  4. Step 4: Simplify right side
    356,332.50x = 273,335,001,410.25
  5. Step 5: Solve for x
    x = 273,335,001,410.25/356,332.50
  6. Step 6: Final answer
    x = 767,078.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.