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Finding the Third Proportional to 86,746.02 and 129,397.03

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Solution

The third proportional to 86,746.02 and 129,397.03 is: 193,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,746.02 : 129,397.03 = 129,397.03 : x
  2. Step 2: Convert to fraction form
    86,746.02/129,397.03 = 129,397.03/x
  3. Step 3: Cross multiply
    86,746.02x = 129,397.03 × 129,397.03
  4. Step 4: Simplify right side
    86,746.02x = 16,743,590,179.94
  5. Step 5: Solve for x
    x = 16,743,590,179.94/86,746.02
  6. Step 6: Final answer
    x = 193,018.55

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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.