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Finding the Third Proportional to 407,655 and 864,639

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Solution

The third proportional to 407,655 and 864,639 is: 1,833,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,655 : 864,639 = 864,639 : x
  2. Step 2: Convert to fraction form
    407,655/864,639 = 864,639/x
  3. Step 3: Cross multiply
    407,655x = 864,639 × 864,639
  4. Step 4: Simplify right side
    407,655x = 747,600,600,321
  5. Step 5: Solve for x
    x = 747,600,600,321/407,655
  6. Step 6: Final answer
    x = 1,833,905.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.