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Finding the Third Proportional to 89,312 and 121,288

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Solution

The third proportional to 89,312 and 121,288 is: 164,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,312 : 121,288 = 121,288 : x
  2. Step 2: Convert to fraction form
    89,312/121,288 = 121,288/x
  3. Step 3: Cross multiply
    89,312x = 121,288 × 121,288
  4. Step 4: Simplify right side
    89,312x = 14,710,778,944
  5. Step 5: Solve for x
    x = 14,710,778,944/89,312
  6. Step 6: Final answer
    x = 164,712.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.