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Finding the Third Proportional to 102,521 and 121,313

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Solution

The third proportional to 102,521 and 121,313 is: 143,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,521 : 121,313 = 121,313 : x
  2. Step 2: Convert to fraction form
    102,521/121,313 = 121,313/x
  3. Step 3: Cross multiply
    102,521x = 121,313 × 121,313
  4. Step 4: Simplify right side
    102,521x = 14,716,843,969
  5. Step 5: Solve for x
    x = 14,716,843,969/102,521
  6. Step 6: Final answer
    x = 143,549.56

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.