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Finding the Third Proportional to 343,318 and 502,685

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Solution

The third proportional to 343,318 and 502,685 is: 736,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,318 : 502,685 = 502,685 : x
  2. Step 2: Convert to fraction form
    343,318/502,685 = 502,685/x
  3. Step 3: Cross multiply
    343,318x = 502,685 × 502,685
  4. Step 4: Simplify right side
    343,318x = 252,692,209,225
  5. Step 5: Solve for x
    x = 252,692,209,225/343,318
  6. Step 6: Final answer
    x = 736,029.60

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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.