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Finding the Third Proportional to 290,239 and 448,298

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Solution

The third proportional to 290,239 and 448,298 is: 692,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,239 : 448,298 = 448,298 : x
  2. Step 2: Convert to fraction form
    290,239/448,298 = 448,298/x
  3. Step 3: Cross multiply
    290,239x = 448,298 × 448,298
  4. Step 4: Simplify right side
    290,239x = 200,971,096,804
  5. Step 5: Solve for x
    x = 200,971,096,804/290,239
  6. Step 6: Final answer
    x = 692,433.12

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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.