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Finding the Third Proportional to 92,108,718 and 198,565,614

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Solution

The third proportional to 92,108,718 and 198,565,614 is: 428,062,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,108,718 : 198,565,614 = 198,565,614 : x
  2. Step 2: Convert to fraction form
    92,108,718/198,565,614 = 198,565,614/x
  3. Step 3: Cross multiply
    92,108,718x = 198,565,614 × 198,565,614
  4. Step 4: Simplify right side
    92,108,718x = 39,428,303,063,196,992
  5. Step 5: Solve for x
    x = 39,428,303,063,196,992/92,108,718
  6. Step 6: Final answer
    x = 428,062,662.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.