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Finding the Third Proportional to 7,801,029 and 12,126,277.13

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Solution

The third proportional to 7,801,029 and 12,126,277.13 is: 18,849,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801,029 : 12,126,277.13 = 12,126,277.13 : x
  2. Step 2: Convert to fraction form
    7,801,029/12,126,277.13 = 12,126,277.13/x
  3. Step 3: Cross multiply
    7,801,029x = 12,126,277.13 × 12,126,277.13
  4. Step 4: Simplify right side
    7,801,029x = 147,046,596,912,298.25
  5. Step 5: Solve for x
    x = 147,046,596,912,298.25/7,801,029
  6. Step 6: Final answer
    x = 18,849,641.11

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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.