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Finding the Third Proportional to 402,368 and 603,600

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Solution

The third proportional to 402,368 and 603,600 is: 905,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,368 : 603,600 = 603,600 : x
  2. Step 2: Convert to fraction form
    402,368/603,600 = 603,600/x
  3. Step 3: Cross multiply
    402,368x = 603,600 × 603,600
  4. Step 4: Simplify right side
    402,368x = 364,332,960,000
  5. Step 5: Solve for x
    x = 364,332,960,000/402,368
  6. Step 6: Final answer
    x = 905,472.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.