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Finding the Third Proportional to 290,514 and 424,623

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Solution

The third proportional to 290,514 and 424,623 is: 620,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,514 : 424,623 = 424,623 : x
  2. Step 2: Convert to fraction form
    290,514/424,623 = 424,623/x
  3. Step 3: Cross multiply
    290,514x = 424,623 × 424,623
  4. Step 4: Simplify right side
    290,514x = 180,304,692,129
  5. Step 5: Solve for x
    x = 180,304,692,129/290,514
  6. Step 6: Final answer
    x = 620,640.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.