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Finding the Third Proportional to 185,790 and 258,513

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Solution

The third proportional to 185,790 and 258,513 is: 359,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,790 : 258,513 = 258,513 : x
  2. Step 2: Convert to fraction form
    185,790/258,513 = 258,513/x
  3. Step 3: Cross multiply
    185,790x = 258,513 × 258,513
  4. Step 4: Simplify right side
    185,790x = 66,828,971,169
  5. Step 5: Solve for x
    x = 66,828,971,169/185,790
  6. Step 6: Final answer
    x = 359,701.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.