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Finding the Third Proportional to 216,787 and 463,706

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Solution

The third proportional to 216,787 and 463,706 is: 991,864.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,787 : 463,706 = 463,706 : x
  2. Step 2: Convert to fraction form
    216,787/463,706 = 463,706/x
  3. Step 3: Cross multiply
    216,787x = 463,706 × 463,706
  4. Step 4: Simplify right side
    216,787x = 215,023,254,436
  5. Step 5: Solve for x
    x = 215,023,254,436/216,787
  6. Step 6: Final answer
    x = 991,864.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.