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Finding the Third Proportional to 399,315 and 865,023

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Solution

The third proportional to 399,315 and 865,023 is: 1,873,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,315 : 865,023 = 865,023 : x
  2. Step 2: Convert to fraction form
    399,315/865,023 = 865,023/x
  3. Step 3: Cross multiply
    399,315x = 865,023 × 865,023
  4. Step 4: Simplify right side
    399,315x = 748,264,790,529
  5. Step 5: Solve for x
    x = 748,264,790,529/399,315
  6. Step 6: Final answer
    x = 1,873,870.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.