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Finding the Third Proportional to 58,562 and 128,786

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Solution

The third proportional to 58,562 and 128,786 is: 283,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,562 : 128,786 = 128,786 : x
  2. Step 2: Convert to fraction form
    58,562/128,786 = 128,786/x
  3. Step 3: Cross multiply
    58,562x = 128,786 × 128,786
  4. Step 4: Simplify right side
    58,562x = 16,585,833,796
  5. Step 5: Solve for x
    x = 16,585,833,796/58,562
  6. Step 6: Final answer
    x = 283,218.36

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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.