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Finding the Third Proportional to 272,623 and 413,840

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Solution

The third proportional to 272,623 and 413,840 is: 628,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,623 : 413,840 = 413,840 : x
  2. Step 2: Convert to fraction form
    272,623/413,840 = 413,840/x
  3. Step 3: Cross multiply
    272,623x = 413,840 × 413,840
  4. Step 4: Simplify right side
    272,623x = 171,263,545,600
  5. Step 5: Solve for x
    x = 171,263,545,600/272,623
  6. Step 6: Final answer
    x = 628,206.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.