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Finding the Third Proportional to 287,048 and 427,292

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Solution

The third proportional to 287,048 and 427,292 is: 636,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,048 : 427,292 = 427,292 : x
  2. Step 2: Convert to fraction form
    287,048/427,292 = 427,292/x
  3. Step 3: Cross multiply
    287,048x = 427,292 × 427,292
  4. Step 4: Simplify right side
    287,048x = 182,578,453,264
  5. Step 5: Solve for x
    x = 182,578,453,264/287,048
  6. Step 6: Final answer
    x = 636,055.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.