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Finding the Third Proportional to 410,640 and 891,424

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Solution

The third proportional to 410,640 and 891,424 is: 1,935,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,640 : 891,424 = 891,424 : x
  2. Step 2: Convert to fraction form
    410,640/891,424 = 891,424/x
  3. Step 3: Cross multiply
    410,640x = 891,424 × 891,424
  4. Step 4: Simplify right side
    410,640x = 794,636,747,776
  5. Step 5: Solve for x
    x = 794,636,747,776/410,640
  6. Step 6: Final answer
    x = 1,935,117.74

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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.