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Finding the Third Proportional to 287,372 and 628,248

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Solution

The third proportional to 287,372 and 628,248 is: 1,373,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,372 : 628,248 = 628,248 : x
  2. Step 2: Convert to fraction form
    287,372/628,248 = 628,248/x
  3. Step 3: Cross multiply
    287,372x = 628,248 × 628,248
  4. Step 4: Simplify right side
    287,372x = 394,695,549,504
  5. Step 5: Solve for x
    x = 394,695,549,504/287,372
  6. Step 6: Final answer
    x = 1,373,465.58

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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.