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Finding the Third Proportional to 302,690 and 456,339

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Solution

The third proportional to 302,690 and 456,339 is: 687,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,690 : 456,339 = 456,339 : x
  2. Step 2: Convert to fraction form
    302,690/456,339 = 456,339/x
  3. Step 3: Cross multiply
    302,690x = 456,339 × 456,339
  4. Step 4: Simplify right side
    302,690x = 208,245,282,921
  5. Step 5: Solve for x
    x = 208,245,282,921/302,690
  6. Step 6: Final answer
    x = 687,982.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.