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Finding the Third Proportional to 216,854 and 521,778

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Solution

The third proportional to 216,854 and 521,778 is: 1,255,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,854 : 521,778 = 521,778 : x
  2. Step 2: Convert to fraction form
    216,854/521,778 = 521,778/x
  3. Step 3: Cross multiply
    216,854x = 521,778 × 521,778
  4. Step 4: Simplify right side
    216,854x = 272,252,281,284
  5. Step 5: Solve for x
    x = 272,252,281,284/216,854
  6. Step 6: Final answer
    x = 1,255,463.50

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.