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Finding the Third Proportional to 130,908 and 282,702

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Solution

The third proportional to 130,908 and 282,702 is: 610,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,908 : 282,702 = 282,702 : x
  2. Step 2: Convert to fraction form
    130,908/282,702 = 282,702/x
  3. Step 3: Cross multiply
    130,908x = 282,702 × 282,702
  4. Step 4: Simplify right side
    130,908x = 79,920,420,804
  5. Step 5: Solve for x
    x = 79,920,420,804/130,908
  6. Step 6: Final answer
    x = 610,508.30

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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.