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Finding the Third Proportional to 131,458 and 286,940

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Solution

The third proportional to 131,458 and 286,940 is: 626,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,458 : 286,940 = 286,940 : x
  2. Step 2: Convert to fraction form
    131,458/286,940 = 286,940/x
  3. Step 3: Cross multiply
    131,458x = 286,940 × 286,940
  4. Step 4: Simplify right side
    131,458x = 82,334,563,600
  5. Step 5: Solve for x
    x = 82,334,563,600/131,458
  6. Step 6: Final answer
    x = 626,318.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.