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Finding the Third Proportional to 221,910 and 360,528

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Solution

The third proportional to 221,910 and 360,528 is: 585,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,910 : 360,528 = 360,528 : x
  2. Step 2: Convert to fraction form
    221,910/360,528 = 360,528/x
  3. Step 3: Cross multiply
    221,910x = 360,528 × 360,528
  4. Step 4: Simplify right side
    221,910x = 129,980,438,784
  5. Step 5: Solve for x
    x = 129,980,438,784/221,910
  6. Step 6: Final answer
    x = 585,734.93

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.