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Finding the Third Proportional to 406,417.50 and 603,753.75

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Solution

The third proportional to 406,417.50 and 603,753.75 is: 896,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,417.50 : 603,753.75 = 603,753.75 : x
  2. Step 2: Convert to fraction form
    406,417.50/603,753.75 = 603,753.75/x
  3. Step 3: Cross multiply
    406,417.50x = 603,753.75 × 603,753.75
  4. Step 4: Simplify right side
    406,417.50x = 364,518,590,639.06
  5. Step 5: Solve for x
    x = 364,518,590,639.06/406,417.50
  6. Step 6: Final answer
    x = 896,906.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.