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Finding the Third Proportional to 105,720 and 155,718

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Solution

The third proportional to 105,720 and 155,718 is: 229,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,720 : 155,718 = 155,718 : x
  2. Step 2: Convert to fraction form
    105,720/155,718 = 155,718/x
  3. Step 3: Cross multiply
    105,720x = 155,718 × 155,718
  4. Step 4: Simplify right side
    105,720x = 24,248,095,524
  5. Step 5: Solve for x
    x = 24,248,095,524/105,720
  6. Step 6: Final answer
    x = 229,361.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.