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Finding the Third Proportional to 402,360 and 603,588

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Solution

The third proportional to 402,360 and 603,588 is: 905,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,360 : 603,588 = 603,588 : x
  2. Step 2: Convert to fraction form
    402,360/603,588 = 603,588/x
  3. Step 3: Cross multiply
    402,360x = 603,588 × 603,588
  4. Step 4: Simplify right side
    402,360x = 364,318,473,744
  5. Step 5: Solve for x
    x = 364,318,473,744/402,360
  6. Step 6: Final answer
    x = 905,454.01

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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.