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Finding the Third Proportional to 641,760 and 986,520

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Solution

The third proportional to 641,760 and 986,520 is: 1,516,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,760 : 986,520 = 986,520 : x
  2. Step 2: Convert to fraction form
    641,760/986,520 = 986,520/x
  3. Step 3: Cross multiply
    641,760x = 986,520 × 986,520
  4. Step 4: Simplify right side
    641,760x = 973,221,710,400
  5. Step 5: Solve for x
    x = 973,221,710,400/641,760
  6. Step 6: Final answer
    x = 1,516,488.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.