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Finding the Third Proportional to 9,781,542 and 21,452,651

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Solution

The third proportional to 9,781,542 and 21,452,651 is: 47,049,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781,542 : 21,452,651 = 21,452,651 : x
  2. Step 2: Convert to fraction form
    9,781,542/21,452,651 = 21,452,651/x
  3. Step 3: Cross multiply
    9,781,542x = 21,452,651 × 21,452,651
  4. Step 4: Simplify right side
    9,781,542x = 460,216,234,927,801
  5. Step 5: Solve for x
    x = 460,216,234,927,801/9,781,542
  6. Step 6: Final answer
    x = 47,049,456.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.