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Finding the Third Proportional to 85,416,342.12 and 127,564,786.41

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Solution

The third proportional to 85,416,342.12 and 127,564,786.41 is: 190,511,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416,342.12 : 127,564,786.41 = 127,564,786.41 : x
  2. Step 2: Convert to fraction form
    85,416,342.12/127,564,786.41 = 127,564,786.41/x
  3. Step 3: Cross multiply
    85,416,342.12x = 127,564,786.41 × 127,564,786.41
  4. Step 4: Simplify right side
    85,416,342.12x = 16,272,774,730,872,184
  5. Step 5: Solve for x
    x = 16,272,774,730,872,184/85,416,342.12
  6. Step 6: Final answer
    x = 190,511,257.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.