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Finding the Third Proportional to 181,489,410 and 278,962,299

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Solution

The third proportional to 181,489,410 and 278,962,299 is: 428,785,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,489,410 : 278,962,299 = 278,962,299 : x
  2. Step 2: Convert to fraction form
    181,489,410/278,962,299 = 278,962,299/x
  3. Step 3: Cross multiply
    181,489,410x = 278,962,299 × 278,962,299
  4. Step 4: Simplify right side
    181,489,410x = 77,819,964,263,365,408
  5. Step 5: Solve for x
    x = 77,819,964,263,365,408/181,489,410
  6. Step 6: Final answer
    x = 428,785,152.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.