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Finding the Third Proportional to 516,442 and 1,118,639

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Solution

The third proportional to 516,442 and 1,118,639 is: 2,423,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,442 : 1,118,639 = 1,118,639 : x
  2. Step 2: Convert to fraction form
    516,442/1,118,639 = 1,118,639/x
  3. Step 3: Cross multiply
    516,442x = 1,118,639 × 1,118,639
  4. Step 4: Simplify right side
    516,442x = 1,251,353,212,321
  5. Step 5: Solve for x
    x = 1,251,353,212,321/516,442
  6. Step 6: Final answer
    x = 2,423,027.59

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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.