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Finding the Third Proportional to 66,555,770 and 145,360,120

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Solution

The third proportional to 66,555,770 and 145,360,120 is: 317,471,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,555,770 : 145,360,120 = 145,360,120 : x
  2. Step 2: Convert to fraction form
    66,555,770/145,360,120 = 145,360,120/x
  3. Step 3: Cross multiply
    66,555,770x = 145,360,120 × 145,360,120
  4. Step 4: Simplify right side
    66,555,770x = 21,129,564,486,414,400
  5. Step 5: Solve for x
    x = 21,129,564,486,414,400/66,555,770
  6. Step 6: Final answer
    x = 317,471,565.37

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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.