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Finding the Third Proportional to 272,620.50 and 578,289

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Solution

The third proportional to 272,620.50 and 578,289 is: 1,226,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,620.50 : 578,289 = 578,289 : x
  2. Step 2: Convert to fraction form
    272,620.50/578,289 = 578,289/x
  3. Step 3: Cross multiply
    272,620.50x = 578,289 × 578,289
  4. Step 4: Simplify right side
    272,620.50x = 334,418,167,521
  5. Step 5: Solve for x
    x = 334,418,167,521/272,620.50
  6. Step 6: Final answer
    x = 1,226,680.19

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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.