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Finding the Third Proportional to 78,165,820 and 167,065,796

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Solution

The third proportional to 78,165,820 and 167,065,796 is: 357,073,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165,820 : 167,065,796 = 167,065,796 : x
  2. Step 2: Convert to fraction form
    78,165,820/167,065,796 = 167,065,796/x
  3. Step 3: Cross multiply
    78,165,820x = 167,065,796 × 167,065,796
  4. Step 4: Simplify right side
    78,165,820x = 27,910,980,193,113,616
  5. Step 5: Solve for x
    x = 27,910,980,193,113,616/78,165,820
  6. Step 6: Final answer
    x = 357,073,976.75

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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.