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Finding the Third Proportional to 272,690 and 583,282

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Solution

The third proportional to 272,690 and 583,282 is: 1,247,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,690 : 583,282 = 583,282 : x
  2. Step 2: Convert to fraction form
    272,690/583,282 = 583,282/x
  3. Step 3: Cross multiply
    272,690x = 583,282 × 583,282
  4. Step 4: Simplify right side
    272,690x = 340,217,891,524
  5. Step 5: Solve for x
    x = 340,217,891,524/272,690
  6. Step 6: Final answer
    x = 1,247,636.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.