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Finding the Third Proportional to 131,258 and 286,576

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Solution

The third proportional to 131,258 and 286,576 is: 625,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,258 : 286,576 = 286,576 : x
  2. Step 2: Convert to fraction form
    131,258/286,576 = 286,576/x
  3. Step 3: Cross multiply
    131,258x = 286,576 × 286,576
  4. Step 4: Simplify right side
    131,258x = 82,125,803,776
  5. Step 5: Solve for x
    x = 82,125,803,776/131,258
  6. Step 6: Final answer
    x = 625,682.27

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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.