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Finding the Third Proportional to 80,360,448 and 174,420,264

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Solution

The third proportional to 80,360,448 and 174,420,264 is: 378,574,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360,448 : 174,420,264 = 174,420,264 : x
  2. Step 2: Convert to fraction form
    80,360,448/174,420,264 = 174,420,264/x
  3. Step 3: Cross multiply
    80,360,448x = 174,420,264 × 174,420,264
  4. Step 4: Simplify right side
    80,360,448x = 30,422,428,493,829,696
  5. Step 5: Solve for x
    x = 30,422,428,493,829,696/80,360,448
  6. Step 6: Final answer
    x = 378,574,650.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.