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Finding the Third Proportional to 13,275,830 and 20,503,331

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Solution

The third proportional to 13,275,830 and 20,503,331 is: 31,665,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275,830 : 20,503,331 = 20,503,331 : x
  2. Step 2: Convert to fraction form
    13,275,830/20,503,331 = 20,503,331/x
  3. Step 3: Cross multiply
    13,275,830x = 20,503,331 × 20,503,331
  4. Step 4: Simplify right side
    13,275,830x = 420,386,582,095,561
  5. Step 5: Solve for x
    x = 420,386,582,095,561/13,275,830
  6. Step 6: Final answer
    x = 31,665,559.30

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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.