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Finding the Third Proportional to 86,312 and 130,260

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Solution

The third proportional to 86,312 and 130,260 is: 196,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,312 : 130,260 = 130,260 : x
  2. Step 2: Convert to fraction form
    86,312/130,260 = 130,260/x
  3. Step 3: Cross multiply
    86,312x = 130,260 × 130,260
  4. Step 4: Simplify right side
    86,312x = 16,967,667,600
  5. Step 5: Solve for x
    x = 16,967,667,600/86,312
  6. Step 6: Final answer
    x = 196,585.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.