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Finding the Third Proportional to 322,420.50 and 683,250.19

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Solution

The third proportional to 322,420.50 and 683,250.19 is: 1,447,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,420.50 : 683,250.19 = 683,250.19 : x
  2. Step 2: Convert to fraction form
    322,420.50/683,250.19 = 683,250.19/x
  3. Step 3: Cross multiply
    322,420.50x = 683,250.19 × 683,250.19
  4. Step 4: Simplify right side
    322,420.50x = 466,830,818,718.79
  5. Step 5: Solve for x
    x = 466,830,818,718.79/322,420.50
  6. Step 6: Final answer
    x = 1,447,894.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.