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Finding the Third Proportional to 31,921,200 and 66,390,048

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Solution

The third proportional to 31,921,200 and 66,390,048 is: 138,078,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921,200 : 66,390,048 = 66,390,048 : x
  2. Step 2: Convert to fraction form
    31,921,200/66,390,048 = 66,390,048/x
  3. Step 3: Cross multiply
    31,921,200x = 66,390,048 × 66,390,048
  4. Step 4: Simplify right side
    31,921,200x = 4,407,638,473,442,304
  5. Step 5: Solve for x
    x = 4,407,638,473,442,304/31,921,200
  6. Step 6: Final answer
    x = 138,078,721.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.