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Finding the Third Proportional to 68,518,203.75 and 147,957,755.63

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Solution

The third proportional to 68,518,203.75 and 147,957,755.63 is: 319,498,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,518,203.75 : 147,957,755.63 = 147,957,755.63 : x
  2. Step 2: Convert to fraction form
    68,518,203.75/147,957,755.63 = 147,957,755.63/x
  3. Step 3: Cross multiply
    68,518,203.75x = 147,957,755.63 × 147,957,755.63
  4. Step 4: Simplify right side
    68,518,203.75x = 21,891,497,449,587,220
  5. Step 5: Solve for x
    x = 21,891,497,449,587,220/68,518,203.75
  6. Step 6: Final answer
    x = 319,498,998.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.