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Finding the Third Proportional to 272,560 and 411,297

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Solution

The third proportional to 272,560 and 411,297 is: 620,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,560 : 411,297 = 411,297 : x
  2. Step 2: Convert to fraction form
    272,560/411,297 = 411,297/x
  3. Step 3: Cross multiply
    272,560x = 411,297 × 411,297
  4. Step 4: Simplify right side
    272,560x = 169,165,222,209
  5. Step 5: Solve for x
    x = 169,165,222,209/272,560
  6. Step 6: Final answer
    x = 620,653.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.