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Finding the Third Proportional to 131,240 and 286,537

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Solution

The third proportional to 131,240 and 286,537 is: 625,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,240 : 286,537 = 286,537 : x
  2. Step 2: Convert to fraction form
    131,240/286,537 = 286,537/x
  3. Step 3: Cross multiply
    131,240x = 286,537 × 286,537
  4. Step 4: Simplify right side
    131,240x = 82,103,452,369
  5. Step 5: Solve for x
    x = 82,103,452,369/131,240
  6. Step 6: Final answer
    x = 625,597.78

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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.