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Finding the Third Proportional to 272,234,979 and 418,444,744.50

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Solution

The third proportional to 272,234,979 and 418,444,744.50 is: 643,179,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,979 : 418,444,744.50 = 418,444,744.50 : x
  2. Step 2: Convert to fraction form
    272,234,979/418,444,744.50 = 418,444,744.50/x
  3. Step 3: Cross multiply
    272,234,979x = 418,444,744.50 × 418,444,744.50
  4. Step 4: Simplify right side
    272,234,979x = 175,096,004,199,670,272
  5. Step 5: Solve for x
    x = 175,096,004,199,670,272/272,234,979
  6. Step 6: Final answer
    x = 643,179,670.90

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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.