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Finding the Third Proportional to 47,050,932 and 101,918,480

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Solution

The third proportional to 47,050,932 and 101,918,480 is: 220,768,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,050,932 : 101,918,480 = 101,918,480 : x
  2. Step 2: Convert to fraction form
    47,050,932/101,918,480 = 101,918,480/x
  3. Step 3: Cross multiply
    47,050,932x = 101,918,480 × 101,918,480
  4. Step 4: Simplify right side
    47,050,932x = 10,387,376,565,510,400
  5. Step 5: Solve for x
    x = 10,387,376,565,510,400/47,050,932
  6. Step 6: Final answer
    x = 220,768,773.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.