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Finding the Third Proportional to 386,543.17 and 824,422.65

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Solution

The third proportional to 386,543.17 and 824,422.65 is: 1,758,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,543.17 : 824,422.65 = 824,422.65 : x
  2. Step 2: Convert to fraction form
    386,543.17/824,422.65 = 824,422.65/x
  3. Step 3: Cross multiply
    386,543.17x = 824,422.65 × 824,422.65
  4. Step 4: Simplify right side
    386,543.17x = 679,672,701,243.87
  5. Step 5: Solve for x
    x = 679,672,701,243.87/386,543.17
  6. Step 6: Final answer
    x = 1,758,335.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.