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Finding the Third Proportional to 84,098.25 and 128,774.81

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Solution

The third proportional to 84,098.25 and 128,774.81 is: 197,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,098.25 : 128,774.81 = 128,774.81 : x
  2. Step 2: Convert to fraction form
    84,098.25/128,774.81 = 128,774.81/x
  3. Step 3: Cross multiply
    84,098.25x = 128,774.81 × 128,774.81
  4. Step 4: Simplify right side
    84,098.25x = 16,582,952,334.41
  5. Step 5: Solve for x
    x = 16,582,952,334.41/84,098.25
  6. Step 6: Final answer
    x = 197,185.46

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1.5x scale

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.