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Finding the Third Proportional to 245,974 and 371,220

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Solution

The third proportional to 245,974 and 371,220 is: 560,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,974 : 371,220 = 371,220 : x
  2. Step 2: Convert to fraction form
    245,974/371,220 = 371,220/x
  3. Step 3: Cross multiply
    245,974x = 371,220 × 371,220
  4. Step 4: Simplify right side
    245,974x = 137,804,288,400
  5. Step 5: Solve for x
    x = 137,804,288,400/245,974
  6. Step 6: Final answer
    x = 560,239.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.