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Finding the Third Proportional to 58,436 and 128,536

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Solution

The third proportional to 58,436 and 128,536 is: 282,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,436 : 128,536 = 128,536 : x
  2. Step 2: Convert to fraction form
    58,436/128,536 = 128,536/x
  3. Step 3: Cross multiply
    58,436x = 128,536 × 128,536
  4. Step 4: Simplify right side
    58,436x = 16,521,503,296
  5. Step 5: Solve for x
    x = 16,521,503,296/58,436
  6. Step 6: Final answer
    x = 282,728.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.