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Finding the Third Proportional to 438,636.94 and 642,747.66

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Solution

The third proportional to 438,636.94 and 642,747.66 is: 941,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,636.94 : 642,747.66 = 642,747.66 : x
  2. Step 2: Convert to fraction form
    438,636.94/642,747.66 = 642,747.66/x
  3. Step 3: Cross multiply
    438,636.94x = 642,747.66 × 642,747.66
  4. Step 4: Simplify right side
    438,636.94x = 413,124,549,614.87
  5. Step 5: Solve for x
    x = 413,124,549,614.87/438,636.94
  6. Step 6: Final answer
    x = 941,837.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.