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Finding the Third Proportional to 78,239,979 and 169,920,163.13

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Solution

The third proportional to 78,239,979 and 169,920,163.13 is: 369,029,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,239,979 : 169,920,163.13 = 169,920,163.13 : x
  2. Step 2: Convert to fraction form
    78,239,979/169,920,163.13 = 169,920,163.13/x
  3. Step 3: Cross multiply
    78,239,979x = 169,920,163.13 × 169,920,163.13
  4. Step 4: Simplify right side
    78,239,979x = 28,872,861,836,426,608
  5. Step 5: Solve for x
    x = 28,872,861,836,426,608/78,239,979
  6. Step 6: Final answer
    x = 369,029,519.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.