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Finding the Third Proportional to 410,298.75 and 649,171.13

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Solution

The third proportional to 410,298.75 and 649,171.13 is: 1,027,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,298.75 : 649,171.13 = 649,171.13 : x
  2. Step 2: Convert to fraction form
    410,298.75/649,171.13 = 649,171.13/x
  3. Step 3: Cross multiply
    410,298.75x = 649,171.13 × 649,171.13
  4. Step 4: Simplify right side
    410,298.75x = 421,423,149,533.77
  5. Step 5: Solve for x
    x = 421,423,149,533.77/410,298.75
  6. Step 6: Final answer
    x = 1,027,112.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.