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Finding the Third Proportional to 220,948 and 345,639

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Solution

The third proportional to 220,948 and 345,639 is: 540,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,948 : 345,639 = 345,639 : x
  2. Step 2: Convert to fraction form
    220,948/345,639 = 345,639/x
  3. Step 3: Cross multiply
    220,948x = 345,639 × 345,639
  4. Step 4: Simplify right side
    220,948x = 119,466,318,321
  5. Step 5: Solve for x
    x = 119,466,318,321/220,948
  6. Step 6: Final answer
    x = 540,698.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.