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Finding the Third Proportional to 285,187 and 619,639

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Solution

The third proportional to 285,187 and 619,639 is: 1,346,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,187 : 619,639 = 619,639 : x
  2. Step 2: Convert to fraction form
    285,187/619,639 = 619,639/x
  3. Step 3: Cross multiply
    285,187x = 619,639 × 619,639
  4. Step 4: Simplify right side
    285,187x = 383,952,490,321
  5. Step 5: Solve for x
    x = 383,952,490,321/285,187
  6. Step 6: Final answer
    x = 1,346,318.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.