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Finding the Third Proportional to 406,480 and 603,824.25

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Solution

The third proportional to 406,480 and 603,824.25 is: 896,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,480 : 603,824.25 = 603,824.25 : x
  2. Step 2: Convert to fraction form
    406,480/603,824.25 = 603,824.25/x
  3. Step 3: Cross multiply
    406,480x = 603,824.25 × 603,824.25
  4. Step 4: Simplify right side
    406,480x = 364,603,724,888.06
  5. Step 5: Solve for x
    x = 364,603,724,888.06/406,480
  6. Step 6: Final answer
    x = 896,978.26

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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.