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Finding the Third Proportional to 128,836,005 and 278,096,490

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Solution

The third proportional to 128,836,005 and 278,096,490 is: 600,279,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,836,005 : 278,096,490 = 278,096,490 : x
  2. Step 2: Convert to fraction form
    128,836,005/278,096,490 = 278,096,490/x
  3. Step 3: Cross multiply
    128,836,005x = 278,096,490 × 278,096,490
  4. Step 4: Simplify right side
    128,836,005x = 77,337,657,750,320,096
  5. Step 5: Solve for x
    x = 77,337,657,750,320,096/128,836,005
  6. Step 6: Final answer
    x = 600,279,849.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.