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Finding the Third Proportional to 30,189,897 and 66,310,722

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Solution

The third proportional to 30,189,897 and 66,310,722 is: 145,648,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189,897 : 66,310,722 = 66,310,722 : x
  2. Step 2: Convert to fraction form
    30,189,897/66,310,722 = 66,310,722/x
  3. Step 3: Cross multiply
    30,189,897x = 66,310,722 × 66,310,722
  4. Step 4: Simplify right side
    30,189,897x = 4,397,111,852,161,284
  5. Step 5: Solve for x
    x = 4,397,111,852,161,284/30,189,897
  6. Step 6: Final answer
    x = 145,648,454.92

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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.