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Finding the Third Proportional to 317,732.63 and 699,435

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Solution

The third proportional to 317,732.63 and 699,435 is: 1,539,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,732.63 : 699,435 = 699,435 : x
  2. Step 2: Convert to fraction form
    317,732.63/699,435 = 699,435/x
  3. Step 3: Cross multiply
    317,732.63x = 699,435 × 699,435
  4. Step 4: Simplify right side
    317,732.63x = 489,209,319,225
  5. Step 5: Solve for x
    x = 489,209,319,225/317,732.63
  6. Step 6: Final answer
    x = 1,539,688.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.