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Finding the Third Proportional to 343,320 and 502,690

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Solution

The third proportional to 343,320 and 502,690 is: 736,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,320 : 502,690 = 502,690 : x
  2. Step 2: Convert to fraction form
    343,320/502,690 = 502,690/x
  3. Step 3: Cross multiply
    343,320x = 502,690 × 502,690
  4. Step 4: Simplify right side
    343,320x = 252,697,236,100
  5. Step 5: Solve for x
    x = 252,697,236,100/343,320
  6. Step 6: Final answer
    x = 736,039.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.