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Finding the Third Proportional to 283,340.53 and 392,710.78

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Solution

The third proportional to 283,340.53 and 392,710.78 is: 544,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,340.53 : 392,710.78 = 392,710.78 : x
  2. Step 2: Convert to fraction form
    283,340.53/392,710.78 = 392,710.78/x
  3. Step 3: Cross multiply
    283,340.53x = 392,710.78 × 392,710.78
  4. Step 4: Simplify right side
    283,340.53x = 154,221,757,709.99
  5. Step 5: Solve for x
    x = 154,221,757,709.99/283,340.53
  6. Step 6: Final answer
    x = 544,298.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.