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Finding the Third Proportional to 132,714 and 291,316

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Solution

The third proportional to 132,714 and 291,316 is: 639,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,714 : 291,316 = 291,316 : x
  2. Step 2: Convert to fraction form
    132,714/291,316 = 291,316/x
  3. Step 3: Cross multiply
    132,714x = 291,316 × 291,316
  4. Step 4: Simplify right side
    132,714x = 84,865,011,856
  5. Step 5: Solve for x
    x = 84,865,011,856/132,714
  6. Step 6: Final answer
    x = 639,457.87

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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.