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Finding the Third Proportional to 8,216,743 and 12,822,541

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Solution

The third proportional to 8,216,743 and 12,822,541 is: 20,010,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216,743 : 12,822,541 = 12,822,541 : x
  2. Step 2: Convert to fraction form
    8,216,743/12,822,541 = 12,822,541/x
  3. Step 3: Cross multiply
    8,216,743x = 12,822,541 × 12,822,541
  4. Step 4: Simplify right side
    8,216,743x = 164,417,557,696,681
  5. Step 5: Solve for x
    x = 164,417,557,696,681/8,216,743
  6. Step 6: Final answer
    x = 20,010,064.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.