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Finding the Third Proportional to 38,302,272 and 81,912,960

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Solution

The third proportional to 38,302,272 and 81,912,960 is: 175,178,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302,272 : 81,912,960 = 81,912,960 : x
  2. Step 2: Convert to fraction form
    38,302,272/81,912,960 = 81,912,960/x
  3. Step 3: Cross multiply
    38,302,272x = 81,912,960 × 81,912,960
  4. Step 4: Simplify right side
    38,302,272x = 6,709,733,015,961,600
  5. Step 5: Solve for x
    x = 6,709,733,015,961,600/38,302,272
  6. Step 6: Final answer
    x = 175,178,459.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.