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Finding the Third Proportional to 78,400 and 117,776

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Solution

The third proportional to 78,400 and 117,776 is: 176,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,400 : 117,776 = 117,776 : x
  2. Step 2: Convert to fraction form
    78,400/117,776 = 117,776/x
  3. Step 3: Cross multiply
    78,400x = 117,776 × 117,776
  4. Step 4: Simplify right side
    78,400x = 13,871,186,176
  5. Step 5: Solve for x
    x = 13,871,186,176/78,400
  6. Step 6: Final answer
    x = 176,928.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.