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Finding the Third Proportional to 103,613 and 152,019

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Solution

The third proportional to 103,613 and 152,019 is: 223,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,613 : 152,019 = 152,019 : x
  2. Step 2: Convert to fraction form
    103,613/152,019 = 152,019/x
  3. Step 3: Cross multiply
    103,613x = 152,019 × 152,019
  4. Step 4: Simplify right side
    103,613x = 23,109,776,361
  5. Step 5: Solve for x
    x = 23,109,776,361/103,613
  6. Step 6: Final answer
    x = 223,039.35

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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.