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Finding the Third Proportional to 58,780 and 128,586

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Solution

The third proportional to 58,780 and 128,586 is: 281,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,780 : 128,586 = 128,586 : x
  2. Step 2: Convert to fraction form
    58,780/128,586 = 128,586/x
  3. Step 3: Cross multiply
    58,780x = 128,586 × 128,586
  4. Step 4: Simplify right side
    58,780x = 16,534,359,396
  5. Step 5: Solve for x
    x = 16,534,359,396/58,780
  6. Step 6: Final answer
    x = 281,292.27

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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.