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Finding the Third Proportional to 85,290,382 and 124,736,836.50

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Solution

The third proportional to 85,290,382 and 124,736,836.50 is: 182,427,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,290,382 : 124,736,836.50 = 124,736,836.50 : x
  2. Step 2: Convert to fraction form
    85,290,382/124,736,836.50 = 124,736,836.50/x
  3. Step 3: Cross multiply
    85,290,382x = 124,736,836.50 × 124,736,836.50
  4. Step 4: Simplify right side
    85,290,382x = 15,559,278,380,027,732
  5. Step 5: Solve for x
    x = 15,559,278,380,027,732/85,290,382
  6. Step 6: Final answer
    x = 182,427,115.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.