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Finding the Third Proportional to 290,234 and 448,291

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Solution

The third proportional to 290,234 and 448,291 is: 692,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,234 : 448,291 = 448,291 : x
  2. Step 2: Convert to fraction form
    290,234/448,291 = 448,291/x
  3. Step 3: Cross multiply
    290,234x = 448,291 × 448,291
  4. Step 4: Simplify right side
    290,234x = 200,964,820,681
  5. Step 5: Solve for x
    x = 200,964,820,681/290,234
  6. Step 6: Final answer
    x = 692,423.43

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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.