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Finding the Third Proportional to 77,970 and 121,513

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Solution

The third proportional to 77,970 and 121,513 is: 189,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,970 : 121,513 = 121,513 : x
  2. Step 2: Convert to fraction form
    77,970/121,513 = 121,513/x
  3. Step 3: Cross multiply
    77,970x = 121,513 × 121,513
  4. Step 4: Simplify right side
    77,970x = 14,765,409,169
  5. Step 5: Solve for x
    x = 14,765,409,169/77,970
  6. Step 6: Final answer
    x = 189,372.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.