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Finding the Third Proportional to 86,175 and 128,746.13

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Solution

The third proportional to 86,175 and 128,746.13 is: 192,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,175 : 128,746.13 = 128,746.13 : x
  2. Step 2: Convert to fraction form
    86,175/128,746.13 = 128,746.13/x
  3. Step 3: Cross multiply
    86,175x = 128,746.13 × 128,746.13
  4. Step 4: Simplify right side
    86,175x = 16,575,564,702.52
  5. Step 5: Solve for x
    x = 16,575,564,702.52/86,175
  6. Step 6: Final answer
    x = 192,347.72

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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.