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Finding the Third Proportional to 86,575 and 130,434

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Solution

The third proportional to 86,575 and 130,434 is: 196,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,575 : 130,434 = 130,434 : x
  2. Step 2: Convert to fraction form
    86,575/130,434 = 130,434/x
  3. Step 3: Cross multiply
    86,575x = 130,434 × 130,434
  4. Step 4: Simplify right side
    86,575x = 17,013,028,356
  5. Step 5: Solve for x
    x = 17,013,028,356/86,575
  6. Step 6: Final answer
    x = 196,512.02

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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.