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Finding the Third Proportional to 979,540 and 1,513,639

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Solution

The third proportional to 979,540 and 1,513,639 is: 2,338,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,540 : 1,513,639 = 1,513,639 : x
  2. Step 2: Convert to fraction form
    979,540/1,513,639 = 1,513,639/x
  3. Step 3: Cross multiply
    979,540x = 1,513,639 × 1,513,639
  4. Step 4: Simplify right side
    979,540x = 2,291,103,022,321
  5. Step 5: Solve for x
    x = 2,291,103,022,321/979,540
  6. Step 6: Final answer
    x = 2,338,958.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.