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Finding the Third Proportional to 78,972,030 and 176,091,997.50

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Solution

The third proportional to 78,972,030 and 176,091,997.50 is: 392,650,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,972,030 : 176,091,997.50 = 176,091,997.50 : x
  2. Step 2: Convert to fraction form
    78,972,030/176,091,997.50 = 176,091,997.50/x
  3. Step 3: Cross multiply
    78,972,030x = 176,091,997.50 × 176,091,997.50
  4. Step 4: Simplify right side
    78,972,030x = 31,008,391,583,540,008
  5. Step 5: Solve for x
    x = 31,008,391,583,540,008/78,972,030
  6. Step 6: Final answer
    x = 392,650,303.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.