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Finding the Third Proportional to 132,116 and 290,476

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Solution

The third proportional to 132,116 and 290,476 is: 638,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,116 : 290,476 = 290,476 : x
  2. Step 2: Convert to fraction form
    132,116/290,476 = 290,476/x
  3. Step 3: Cross multiply
    132,116x = 290,476 × 290,476
  4. Step 4: Simplify right side
    132,116x = 84,376,306,576
  5. Step 5: Solve for x
    x = 84,376,306,576/132,116
  6. Step 6: Final answer
    x = 638,653.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.