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Finding the Third Proportional to 269,552 and 578,470

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Solution

The third proportional to 269,552 and 578,470 is: 1,241,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,552 : 578,470 = 578,470 : x
  2. Step 2: Convert to fraction form
    269,552/578,470 = 578,470/x
  3. Step 3: Cross multiply
    269,552x = 578,470 × 578,470
  4. Step 4: Simplify right side
    269,552x = 334,627,540,900
  5. Step 5: Solve for x
    x = 334,627,540,900/269,552
  6. Step 6: Final answer
    x = 1,241,421.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.