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Finding the Third Proportional to 287,050 and 427,295

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Solution

The third proportional to 287,050 and 427,295 is: 636,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,050 : 427,295 = 427,295 : x
  2. Step 2: Convert to fraction form
    287,050/427,295 = 427,295/x
  3. Step 3: Cross multiply
    287,050x = 427,295 × 427,295
  4. Step 4: Simplify right side
    287,050x = 182,581,017,025
  5. Step 5: Solve for x
    x = 182,581,017,025/287,050
  6. Step 6: Final answer
    x = 636,059.98

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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.