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Finding the Third Proportional to 30,702,930 and 66,188,586

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Solution

The third proportional to 30,702,930 and 66,188,586 is: 142,687,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702,930 : 66,188,586 = 66,188,586 : x
  2. Step 2: Convert to fraction form
    30,702,930/66,188,586 = 66,188,586/x
  3. Step 3: Cross multiply
    30,702,930x = 66,188,586 × 66,188,586
  4. Step 4: Simplify right side
    30,702,930x = 4,380,928,916,679,396
  5. Step 5: Solve for x
    x = 4,380,928,916,679,396/30,702,930
  6. Step 6: Final answer
    x = 142,687,649.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.