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Finding the Third Proportional to 345,629 and 536,421

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Solution

The third proportional to 345,629 and 536,421 is: 832,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,629 : 536,421 = 536,421 : x
  2. Step 2: Convert to fraction form
    345,629/536,421 = 536,421/x
  3. Step 3: Cross multiply
    345,629x = 536,421 × 536,421
  4. Step 4: Simplify right side
    345,629x = 287,747,489,241
  5. Step 5: Solve for x
    x = 287,747,489,241/345,629
  6. Step 6: Final answer
    x = 832,532.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.