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Finding the Third Proportional to 406,733.91 and 776,562.19

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Solution

The third proportional to 406,733.91 and 776,562.19 is: 1,482,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,733.91 : 776,562.19 = 776,562.19 : x
  2. Step 2: Convert to fraction form
    406,733.91/776,562.19 = 776,562.19/x
  3. Step 3: Cross multiply
    406,733.91x = 776,562.19 × 776,562.19
  4. Step 4: Simplify right side
    406,733.91x = 603,048,831,054.79
  5. Step 5: Solve for x
    x = 603,048,831,054.79/406,733.91
  6. Step 6: Final answer
    x = 1,482,661.81

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.