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Finding the Third Proportional to 86,560 and 130,776

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Solution

The third proportional to 86,560 and 130,776 is: 197,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,560 : 130,776 = 130,776 : x
  2. Step 2: Convert to fraction form
    86,560/130,776 = 130,776/x
  3. Step 3: Cross multiply
    86,560x = 130,776 × 130,776
  4. Step 4: Simplify right side
    86,560x = 17,102,362,176
  5. Step 5: Solve for x
    x = 17,102,362,176/86,560
  6. Step 6: Final answer
    x = 197,578.12

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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.