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Finding the Third Proportional to 400,875.96 and 864,411.75

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Solution

The third proportional to 400,875.96 and 864,411.75 is: 1,863,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,875.96 : 864,411.75 = 864,411.75 : x
  2. Step 2: Convert to fraction form
    400,875.96/864,411.75 = 864,411.75/x
  3. Step 3: Cross multiply
    400,875.96x = 864,411.75 × 864,411.75
  4. Step 4: Simplify right side
    400,875.96x = 747,207,673,538.06
  5. Step 5: Solve for x
    x = 747,207,673,538.06/400,875.96
  6. Step 6: Final answer
    x = 1,863,937.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.