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Finding the Third Proportional to 30,189,890 and 66,310,708

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Solution

The third proportional to 30,189,890 and 66,310,708 is: 145,648,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189,890 : 66,310,708 = 66,310,708 : x
  2. Step 2: Convert to fraction form
    30,189,890/66,310,708 = 66,310,708/x
  3. Step 3: Cross multiply
    30,189,890x = 66,310,708 × 66,310,708
  4. Step 4: Simplify right side
    30,189,890x = 4,397,109,995,461,264
  5. Step 5: Solve for x
    x = 4,397,109,995,461,264/30,189,890
  6. Step 6: Final answer
    x = 145,648,427.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.