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Finding the Third Proportional to 84,905,778 and 181,920,298.50

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Solution

The third proportional to 84,905,778 and 181,920,298.50 is: 389,784,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905,778 : 181,920,298.50 = 181,920,298.50 : x
  2. Step 2: Convert to fraction form
    84,905,778/181,920,298.50 = 181,920,298.50/x
  3. Step 3: Cross multiply
    84,905,778x = 181,920,298.50 × 181,920,298.50
  4. Step 4: Simplify right side
    84,905,778x = 33,094,995,006,329,104
  5. Step 5: Solve for x
    x = 33,094,995,006,329,104/84,905,778
  6. Step 6: Final answer
    x = 389,784,956.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.