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Finding the Third Proportional to 86,391 and 128,920.50

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Solution

The third proportional to 86,391 and 128,920.50 is: 192,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,391 : 128,920.50 = 128,920.50 : x
  2. Step 2: Convert to fraction form
    86,391/128,920.50 = 128,920.50/x
  3. Step 3: Cross multiply
    86,391x = 128,920.50 × 128,920.50
  4. Step 4: Simplify right side
    86,391x = 16,620,495,320.25
  5. Step 5: Solve for x
    x = 16,620,495,320.25/86,391
  6. Step 6: Final answer
    x = 192,386.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.