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Finding the Third Proportional to 921,515 and 1,442,466

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Solution

The third proportional to 921,515 and 1,442,466 is: 2,257,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,515 : 1,442,466 = 1,442,466 : x
  2. Step 2: Convert to fraction form
    921,515/1,442,466 = 1,442,466/x
  3. Step 3: Cross multiply
    921,515x = 1,442,466 × 1,442,466
  4. Step 4: Simplify right side
    921,515x = 2,080,708,161,156
  5. Step 5: Solve for x
    x = 2,080,708,161,156/921,515
  6. Step 6: Final answer
    x = 2,257,921.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.