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Finding the Third Proportional to 642,266 and 1,487,297

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Solution

The third proportional to 642,266 and 1,487,297 is: 3,444,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,266 : 1,487,297 = 1,487,297 : x
  2. Step 2: Convert to fraction form
    642,266/1,487,297 = 1,487,297/x
  3. Step 3: Cross multiply
    642,266x = 1,487,297 × 1,487,297
  4. Step 4: Simplify right side
    642,266x = 2,212,052,366,209
  5. Step 5: Solve for x
    x = 2,212,052,366,209/642,266
  6. Step 6: Final answer
    x = 3,444,137.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.