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Finding the Third Proportional to 638,232 and 1,297,392

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Solution

The third proportional to 638,232 and 1,297,392 is: 2,637,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,232 : 1,297,392 = 1,297,392 : x
  2. Step 2: Convert to fraction form
    638,232/1,297,392 = 1,297,392/x
  3. Step 3: Cross multiply
    638,232x = 1,297,392 × 1,297,392
  4. Step 4: Simplify right side
    638,232x = 1,683,226,001,664
  5. Step 5: Solve for x
    x = 1,683,226,001,664/638,232
  6. Step 6: Final answer
    x = 2,637,326.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.