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Finding the Third Proportional to 78,438,314,976 and 167,781,798,528

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Solution

The third proportional to 78,438,314,976 and 167,781,798,528 is: 358,890,064,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,438,314,976 : 167,781,798,528 = 167,781,798,528 : x
  2. Step 2: Convert to fraction form
    78,438,314,976/167,781,798,528 = 167,781,798,528/x
  3. Step 3: Cross multiply
    78,438,314,976x = 167,781,798,528 × 167,781,798,528
  4. Step 4: Simplify right side
    78,438,314,976x = 28,150,731,917,290,381,508,608
  5. Step 5: Solve for x
    x = 28,150,731,917,290,381,508,608/78,438,314,976
  6. Step 6: Final answer
    x = 358,890,064,452.61

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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.