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Finding the Third Proportional to 531,713.50 and 817,281.50

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Solution

The third proportional to 531,713.50 and 817,281.50 is: 1,256,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,713.50 : 817,281.50 = 817,281.50 : x
  2. Step 2: Convert to fraction form
    531,713.50/817,281.50 = 817,281.50/x
  3. Step 3: Cross multiply
    531,713.50x = 817,281.50 × 817,281.50
  4. Step 4: Simplify right side
    531,713.50x = 667,949,050,242.25
  5. Step 5: Solve for x
    x = 667,949,050,242.25/531,713.50
  6. Step 6: Final answer
    x = 1,256,219.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.