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Finding the Third Proportional to 78,166,608 and 104,210,274

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Solution

The third proportional to 78,166,608 and 104,210,274 is: 138,931,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166,608 : 104,210,274 = 104,210,274 : x
  2. Step 2: Convert to fraction form
    78,166,608/104,210,274 = 104,210,274/x
  3. Step 3: Cross multiply
    78,166,608x = 104,210,274 × 104,210,274
  4. Step 4: Simplify right side
    78,166,608x = 10,859,781,207,155,076
  5. Step 5: Solve for x
    x = 10,859,781,207,155,076/78,166,608
  6. Step 6: Final answer
    x = 138,931,207.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.