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Finding the Third Proportional to 318,182.91 and 686,154.94

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Solution

The third proportional to 318,182.91 and 686,154.94 is: 1,479,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,182.91 : 686,154.94 = 686,154.94 : x
  2. Step 2: Convert to fraction form
    318,182.91/686,154.94 = 686,154.94/x
  3. Step 3: Cross multiply
    318,182.91x = 686,154.94 × 686,154.94
  4. Step 4: Simplify right side
    318,182.91x = 470,808,598,255.63
  5. Step 5: Solve for x
    x = 470,808,598,255.63/318,182.91
  6. Step 6: Final answer
    x = 1,479,679.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.