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Finding the Third Proportional to 402,488 and 931,026

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Solution

The third proportional to 402,488 and 931,026 is: 2,153,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,488 : 931,026 = 931,026 : x
  2. Step 2: Convert to fraction form
    402,488/931,026 = 931,026/x
  3. Step 3: Cross multiply
    402,488x = 931,026 × 931,026
  4. Step 4: Simplify right side
    402,488x = 866,809,412,676
  5. Step 5: Solve for x
    x = 866,809,412,676/402,488
  6. Step 6: Final answer
    x = 2,153,627.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.