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Finding the Third Proportional to 287,082 and 628,596

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Solution

The third proportional to 287,082 and 628,596 is: 1,376,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,082 : 628,596 = 628,596 : x
  2. Step 2: Convert to fraction form
    287,082/628,596 = 628,596/x
  3. Step 3: Cross multiply
    287,082x = 628,596 × 628,596
  4. Step 4: Simplify right side
    287,082x = 395,132,931,216
  5. Step 5: Solve for x
    x = 395,132,931,216/287,082
  6. Step 6: Final answer
    x = 1,376,376.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.