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Finding the Third Proportional to 214,985 and 424,677

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Solution

The third proportional to 214,985 and 424,677 is: 838,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,985 : 424,677 = 424,677 : x
  2. Step 2: Convert to fraction form
    214,985/424,677 = 424,677/x
  3. Step 3: Cross multiply
    214,985x = 424,677 × 424,677
  4. Step 4: Simplify right side
    214,985x = 180,350,554,329
  5. Step 5: Solve for x
    x = 180,350,554,329/214,985
  6. Step 6: Final answer
    x = 838,898.32

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.