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Finding the Third Proportional to 77,386 and 121,299

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Solution

The third proportional to 77,386 and 121,299 is: 190,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,386 : 121,299 = 121,299 : x
  2. Step 2: Convert to fraction form
    77,386/121,299 = 121,299/x
  3. Step 3: Cross multiply
    77,386x = 121,299 × 121,299
  4. Step 4: Simplify right side
    77,386x = 14,713,447,401
  5. Step 5: Solve for x
    x = 14,713,447,401/77,386
  6. Step 6: Final answer
    x = 190,130.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.