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Finding the Third Proportional to 292,365 and 639,405

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Solution

The third proportional to 292,365 and 639,405 is: 1,398,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,365 : 639,405 = 639,405 : x
  2. Step 2: Convert to fraction form
    292,365/639,405 = 639,405/x
  3. Step 3: Cross multiply
    292,365x = 639,405 × 639,405
  4. Step 4: Simplify right side
    292,365x = 408,838,754,025
  5. Step 5: Solve for x
    x = 408,838,754,025/292,365
  6. Step 6: Final answer
    x = 1,398,384.74

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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.