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Finding the Third Proportional to 641,420 and 1,384,536

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Solution

The third proportional to 641,420 and 1,384,536 is: 2,988,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,420 : 1,384,536 = 1,384,536 : x
  2. Step 2: Convert to fraction form
    641,420/1,384,536 = 1,384,536/x
  3. Step 3: Cross multiply
    641,420x = 1,384,536 × 1,384,536
  4. Step 4: Simplify right side
    641,420x = 1,916,939,935,296
  5. Step 5: Solve for x
    x = 1,916,939,935,296/641,420
  6. Step 6: Final answer
    x = 2,988,587.72

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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.