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Finding the Third Proportional to 392,931 and 859,420.13

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Solution

The third proportional to 392,931 and 859,420.13 is: 1,879,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,931 : 859,420.13 = 859,420.13 : x
  2. Step 2: Convert to fraction form
    392,931/859,420.13 = 859,420.13/x
  3. Step 3: Cross multiply
    392,931x = 859,420.13 × 859,420.13
  4. Step 4: Simplify right side
    392,931x = 738,602,951,255.02
  5. Step 5: Solve for x
    x = 738,602,951,255.02/392,931
  6. Step 6: Final answer
    x = 1,879,726.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.