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Finding the Third Proportional to 86,480 and 189,362

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Solution

The third proportional to 86,480 and 189,362 is: 414,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,480 : 189,362 = 189,362 : x
  2. Step 2: Convert to fraction form
    86,480/189,362 = 189,362/x
  3. Step 3: Cross multiply
    86,480x = 189,362 × 189,362
  4. Step 4: Simplify right side
    86,480x = 35,857,967,044
  5. Step 5: Solve for x
    x = 35,857,967,044/86,480
  6. Step 6: Final answer
    x = 414,638.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.