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Finding the Third Proportional to 302,590 and 658,411

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Solution

The third proportional to 302,590 and 658,411 is: 1,432,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,590 : 658,411 = 658,411 : x
  2. Step 2: Convert to fraction form
    302,590/658,411 = 658,411/x
  3. Step 3: Cross multiply
    302,590x = 658,411 × 658,411
  4. Step 4: Simplify right side
    302,590x = 433,505,044,921
  5. Step 5: Solve for x
    x = 433,505,044,921/302,590
  6. Step 6: Final answer
    x = 1,432,648.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.