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Finding the Third Proportional to 78,158,252 and 167,072,702

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Solution

The third proportional to 78,158,252 and 167,072,702 is: 357,138,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,158,252 : 167,072,702 = 167,072,702 : x
  2. Step 2: Convert to fraction form
    78,158,252/167,072,702 = 167,072,702/x
  3. Step 3: Cross multiply
    78,158,252x = 167,072,702 × 167,072,702
  4. Step 4: Simplify right side
    78,158,252x = 27,913,287,753,580,804
  5. Step 5: Solve for x
    x = 27,913,287,753,580,804/78,158,252
  6. Step 6: Final answer
    x = 357,138,076.14

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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.