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Finding the Third Proportional to 406,478 and 603,821.50

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Solution

The third proportional to 406,478 and 603,821.50 is: 896,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,478 : 603,821.50 = 603,821.50 : x
  2. Step 2: Convert to fraction form
    406,478/603,821.50 = 603,821.50/x
  3. Step 3: Cross multiply
    406,478x = 603,821.50 × 603,821.50
  4. Step 4: Simplify right side
    406,478x = 364,600,403,862.25
  5. Step 5: Solve for x
    x = 364,600,403,862.25/406,478
  6. Step 6: Final answer
    x = 896,974.51

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