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Finding the Third Proportional to 639,343 and 1,357,495

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Solution

The third proportional to 639,343 and 1,357,495 is: 2,882,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,343 : 1,357,495 = 1,357,495 : x
  2. Step 2: Convert to fraction form
    639,343/1,357,495 = 1,357,495/x
  3. Step 3: Cross multiply
    639,343x = 1,357,495 × 1,357,495
  4. Step 4: Simplify right side
    639,343x = 1,842,792,675,025
  5. Step 5: Solve for x
    x = 1,842,792,675,025/639,343
  6. Step 6: Final answer
    x = 2,882,322.44

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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.