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Finding the Third Proportional to 84,360 and 128,776

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Solution

The third proportional to 84,360 and 128,776 is: 196,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,360 : 128,776 = 128,776 : x
  2. Step 2: Convert to fraction form
    84,360/128,776 = 128,776/x
  3. Step 3: Cross multiply
    84,360x = 128,776 × 128,776
  4. Step 4: Simplify right side
    84,360x = 16,583,258,176
  5. Step 5: Solve for x
    x = 16,583,258,176/84,360
  6. Step 6: Final answer
    x = 196,577.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.