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Finding the Third Proportional to 52,062 and 113,547

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Solution

The third proportional to 52,062 and 113,547 is: 247,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,062 : 113,547 = 113,547 : x
  2. Step 2: Convert to fraction form
    52,062/113,547 = 113,547/x
  3. Step 3: Cross multiply
    52,062x = 113,547 × 113,547
  4. Step 4: Simplify right side
    52,062x = 12,892,921,209
  5. Step 5: Solve for x
    x = 12,892,921,209/52,062
  6. Step 6: Final answer
    x = 247,645.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.