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Finding the Third Proportional to 402,110 and 865,998

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Solution

The third proportional to 402,110 and 865,998 is: 1,865,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,110 : 865,998 = 865,998 : x
  2. Step 2: Convert to fraction form
    402,110/865,998 = 865,998/x
  3. Step 3: Cross multiply
    402,110x = 865,998 × 865,998
  4. Step 4: Simplify right side
    402,110x = 749,952,536,004
  5. Step 5: Solve for x
    x = 749,952,536,004/402,110
  6. Step 6: Final answer
    x = 1,865,043.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.