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Finding the Third Proportional to 368,520 and 781,326.75

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Solution

The third proportional to 368,520 and 781,326.75 is: 1,656,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,520 : 781,326.75 = 781,326.75 : x
  2. Step 2: Convert to fraction form
    368,520/781,326.75 = 781,326.75/x
  3. Step 3: Cross multiply
    368,520x = 781,326.75 × 781,326.75
  4. Step 4: Simplify right side
    368,520x = 610,471,490,265.56
  5. Step 5: Solve for x
    x = 610,471,490,265.56/368,520
  6. Step 6: Final answer
    x = 1,656,549.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.