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Finding the Third Proportional to 40,480,128 and 86,745,600

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Solution

The third proportional to 40,480,128 and 86,745,600 is: 185,888,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,480,128 : 86,745,600 = 86,745,600 : x
  2. Step 2: Convert to fraction form
    40,480,128/86,745,600 = 86,745,600/x
  3. Step 3: Cross multiply
    40,480,128x = 86,745,600 × 86,745,600
  4. Step 4: Simplify right side
    40,480,128x = 7,524,799,119,360,000
  5. Step 5: Solve for x
    x = 7,524,799,119,360,000/40,480,128
  6. Step 6: Final answer
    x = 185,888,718.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.