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Finding the Third Proportional to 131,106 and 286,020

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Solution

The third proportional to 131,106 and 286,020 is: 623,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,106 : 286,020 = 286,020 : x
  2. Step 2: Convert to fraction form
    131,106/286,020 = 286,020/x
  3. Step 3: Cross multiply
    131,106x = 286,020 × 286,020
  4. Step 4: Simplify right side
    131,106x = 81,807,440,400
  5. Step 5: Solve for x
    x = 81,807,440,400/131,106
  6. Step 6: Final answer
    x = 623,979.38

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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.