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Finding the Third Proportional to 290,897 and 449,312

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Solution

The third proportional to 290,897 and 449,312 is: 693,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,897 : 449,312 = 449,312 : x
  2. Step 2: Convert to fraction form
    290,897/449,312 = 449,312/x
  3. Step 3: Cross multiply
    290,897x = 449,312 × 449,312
  4. Step 4: Simplify right side
    290,897x = 201,881,273,344
  5. Step 5: Solve for x
    x = 201,881,273,344/290,897
  6. Step 6: Final answer
    x = 693,995.72

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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.