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Finding the Third Proportional to 103,448 and 160,820

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Solution

The third proportional to 103,448 and 160,820 is: 250,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,448 : 160,820 = 160,820 : x
  2. Step 2: Convert to fraction form
    103,448/160,820 = 160,820/x
  3. Step 3: Cross multiply
    103,448x = 160,820 × 160,820
  4. Step 4: Simplify right side
    103,448x = 25,863,072,400
  5. Step 5: Solve for x
    x = 25,863,072,400/103,448
  6. Step 6: Final answer
    x = 250,010.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.