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Finding the Third Proportional to 20,715,666 and 31,361,403

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Solution

The third proportional to 20,715,666 and 31,361,403 is: 47,477,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715,666 : 31,361,403 = 31,361,403 : x
  2. Step 2: Convert to fraction form
    20,715,666/31,361,403 = 31,361,403/x
  3. Step 3: Cross multiply
    20,715,666x = 31,361,403 × 31,361,403
  4. Step 4: Simplify right side
    20,715,666x = 983,537,598,128,409
  5. Step 5: Solve for x
    x = 983,537,598,128,409/20,715,666
  6. Step 6: Final answer
    x = 47,477,961.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.