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Finding the Third Proportional to 132,746 and 286,603

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Solution

The third proportional to 132,746 and 286,603 is: 618,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,746 : 286,603 = 286,603 : x
  2. Step 2: Convert to fraction form
    132,746/286,603 = 286,603/x
  3. Step 3: Cross multiply
    132,746x = 286,603 × 286,603
  4. Step 4: Simplify right side
    132,746x = 82,141,279,609
  5. Step 5: Solve for x
    x = 82,141,279,609/132,746
  6. Step 6: Final answer
    x = 618,785.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.