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Finding the Third Proportional to 678,253.50 and 904,152.38

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Solution

The third proportional to 678,253.50 and 904,152.38 is: 1,205,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,253.50 : 904,152.38 = 904,152.38 : x
  2. Step 2: Convert to fraction form
    678,253.50/904,152.38 = 904,152.38/x
  3. Step 3: Cross multiply
    678,253.50x = 904,152.38 × 904,152.38
  4. Step 4: Simplify right side
    678,253.50x = 817,491,517,218.14
  5. Step 5: Solve for x
    x = 817,491,517,218.14/678,253.50
  6. Step 6: Final answer
    x = 1,205,289.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.