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Finding the Third Proportional to 399,518 and 865,564

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Solution

The third proportional to 399,518 and 865,564 is: 1,875,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,518 : 865,564 = 865,564 : x
  2. Step 2: Convert to fraction form
    399,518/865,564 = 865,564/x
  3. Step 3: Cross multiply
    399,518x = 865,564 × 865,564
  4. Step 4: Simplify right side
    399,518x = 749,201,038,096
  5. Step 5: Solve for x
    x = 749,201,038,096/399,518
  6. Step 6: Final answer
    x = 1,875,262.29

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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.