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Finding the Third Proportional to 245,722 and 370,315

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Solution

The third proportional to 245,722 and 370,315 is: 558,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,722 : 370,315 = 370,315 : x
  2. Step 2: Convert to fraction form
    245,722/370,315 = 370,315/x
  3. Step 3: Cross multiply
    245,722x = 370,315 × 370,315
  4. Step 4: Simplify right side
    245,722x = 137,133,199,225
  5. Step 5: Solve for x
    x = 137,133,199,225/245,722
  6. Step 6: Final answer
    x = 558,082.71

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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.