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Finding the Third Proportional to 318,307 and 686,429

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Solution

The third proportional to 318,307 and 686,429 is: 1,480,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,307 : 686,429 = 686,429 : x
  2. Step 2: Convert to fraction form
    318,307/686,429 = 686,429/x
  3. Step 3: Cross multiply
    318,307x = 686,429 × 686,429
  4. Step 4: Simplify right side
    318,307x = 471,184,772,041
  5. Step 5: Solve for x
    x = 471,184,772,041/318,307
  6. Step 6: Final answer
    x = 1,480,284.04

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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.