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Finding the Third Proportional to 561,549 and 842,049.75

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Solution

The third proportional to 561,549 and 842,049.75 is: 1,262,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,549 : 842,049.75 = 842,049.75 : x
  2. Step 2: Convert to fraction form
    561,549/842,049.75 = 842,049.75/x
  3. Step 3: Cross multiply
    561,549x = 842,049.75 × 842,049.75
  4. Step 4: Simplify right side
    561,549x = 709,047,781,475.06
  5. Step 5: Solve for x
    x = 709,047,781,475.06/561,549
  6. Step 6: Final answer
    x = 1,262,664.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.