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Finding the Third Proportional to 290,952 and 449,280

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Solution

The third proportional to 290,952 and 449,280 is: 693,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,952 : 449,280 = 449,280 : x
  2. Step 2: Convert to fraction form
    290,952/449,280 = 449,280/x
  3. Step 3: Cross multiply
    290,952x = 449,280 × 449,280
  4. Step 4: Simplify right side
    290,952x = 201,852,518,400
  5. Step 5: Solve for x
    x = 201,852,518,400/290,952
  6. Step 6: Final answer
    x = 693,765.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.