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Finding the Third Proportional to 78,376,113 and 123,575,184

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Solution

The third proportional to 78,376,113 and 123,575,184 is: 194,840,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376,113 : 123,575,184 = 123,575,184 : x
  2. Step 2: Convert to fraction form
    78,376,113/123,575,184 = 123,575,184/x
  3. Step 3: Cross multiply
    78,376,113x = 123,575,184 × 123,575,184
  4. Step 4: Simplify right side
    78,376,113x = 15,270,826,100,633,856
  5. Step 5: Solve for x
    x = 15,270,826,100,633,856/78,376,113
  6. Step 6: Final answer
    x = 194,840,309.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.