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Finding the Third Proportional to 842,178.75 and 1,098,423

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Solution

The third proportional to 842,178.75 and 1,098,423 is: 1,432,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,178.75 : 1,098,423 = 1,098,423 : x
  2. Step 2: Convert to fraction form
    842,178.75/1,098,423 = 1,098,423/x
  3. Step 3: Cross multiply
    842,178.75x = 1,098,423 × 1,098,423
  4. Step 4: Simplify right side
    842,178.75x = 1,206,533,086,929
  5. Step 5: Solve for x
    x = 1,206,533,086,929/842,178.75
  6. Step 6: Final answer
    x = 1,432,633.02

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.