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Finding the Third Proportional to 85,688,265 and 130,540,144

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Solution

The third proportional to 85,688,265 and 130,540,144 is: 198,868,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,688,265 : 130,540,144 = 130,540,144 : x
  2. Step 2: Convert to fraction form
    85,688,265/130,540,144 = 130,540,144/x
  3. Step 3: Cross multiply
    85,688,265x = 130,540,144 × 130,540,144
  4. Step 4: Simplify right side
    85,688,265x = 17,040,729,195,540,736
  5. Step 5: Solve for x
    x = 17,040,729,195,540,736/85,688,265
  6. Step 6: Final answer
    x = 198,868,878.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.