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Finding the Third Proportional to 290,235 and 448,291.50

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Solution

The third proportional to 290,235 and 448,291.50 is: 692,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,235 : 448,291.50 = 448,291.50 : x
  2. Step 2: Convert to fraction form
    290,235/448,291.50 = 448,291.50/x
  3. Step 3: Cross multiply
    290,235x = 448,291.50 × 448,291.50
  4. Step 4: Simplify right side
    290,235x = 200,965,268,972.25
  5. Step 5: Solve for x
    x = 200,965,268,972.25/290,235
  6. Step 6: Final answer
    x = 692,422.59

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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.