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Finding the Third Proportional to 66,555,776 and 145,360,132

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Solution

The third proportional to 66,555,776 and 145,360,132 is: 317,471,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,555,776 : 145,360,132 = 145,360,132 : x
  2. Step 2: Convert to fraction form
    66,555,776/145,360,132 = 145,360,132/x
  3. Step 3: Cross multiply
    66,555,776x = 145,360,132 × 145,360,132
  4. Step 4: Simplify right side
    66,555,776x = 21,129,567,975,057,424
  5. Step 5: Solve for x
    x = 21,129,567,975,057,424/66,555,776
  6. Step 6: Final answer
    x = 317,471,589.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.