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Finding the Third Proportional to 428,161 and 932,603

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Solution

The third proportional to 428,161 and 932,603 is: 2,031,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,161 : 932,603 = 932,603 : x
  2. Step 2: Convert to fraction form
    428,161/932,603 = 932,603/x
  3. Step 3: Cross multiply
    428,161x = 932,603 × 932,603
  4. Step 4: Simplify right side
    428,161x = 869,748,355,609
  5. Step 5: Solve for x
    x = 869,748,355,609/428,161
  6. Step 6: Final answer
    x = 2,031,358.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.