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Finding the Third Proportional to 407,465.44 and 890,655.75

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Solution

The third proportional to 407,465.44 and 890,655.75 is: 1,946,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,465.44 : 890,655.75 = 890,655.75 : x
  2. Step 2: Convert to fraction form
    407,465.44/890,655.75 = 890,655.75/x
  3. Step 3: Cross multiply
    407,465.44x = 890,655.75 × 890,655.75
  4. Step 4: Simplify right side
    407,465.44x = 793,267,665,008.06
  5. Step 5: Solve for x
    x = 793,267,665,008.06/407,465.44
  6. Step 6: Final answer
    x = 1,946,834.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.