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Finding the Third Proportional to 88,710 and 192,342

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Solution

The third proportional to 88,710 and 192,342 is: 417,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,710 : 192,342 = 192,342 : x
  2. Step 2: Convert to fraction form
    88,710/192,342 = 192,342/x
  3. Step 3: Cross multiply
    88,710x = 192,342 × 192,342
  4. Step 4: Simplify right side
    88,710x = 36,995,444,964
  5. Step 5: Solve for x
    x = 36,995,444,964/88,710
  6. Step 6: Final answer
    x = 417,038.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.