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Finding the Third Proportional to 131,306 and 286,370

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Solution

The third proportional to 131,306 and 286,370 is: 624,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,306 : 286,370 = 286,370 : x
  2. Step 2: Convert to fraction form
    131,306/286,370 = 286,370/x
  3. Step 3: Cross multiply
    131,306x = 286,370 × 286,370
  4. Step 4: Simplify right side
    131,306x = 82,007,776,900
  5. Step 5: Solve for x
    x = 82,007,776,900/131,306
  6. Step 6: Final answer
    x = 624,554.68

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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.