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Finding the Third Proportional to 90,256,128 and 137,500,416

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Solution

The third proportional to 90,256,128 and 137,500,416 is: 209,474,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,256,128 : 137,500,416 = 137,500,416 : x
  2. Step 2: Convert to fraction form
    90,256,128/137,500,416 = 137,500,416/x
  3. Step 3: Cross multiply
    90,256,128x = 137,500,416 × 137,500,416
  4. Step 4: Simplify right side
    90,256,128x = 18,906,364,400,173,056
  5. Step 5: Solve for x
    x = 18,906,364,400,173,056/90,256,128
  6. Step 6: Final answer
    x = 209,474,578.84

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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.