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Finding the Third Proportional to 609,354 and 890,487

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Solution

The third proportional to 609,354 and 890,487 is: 1,301,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,354 : 890,487 = 890,487 : x
  2. Step 2: Convert to fraction form
    609,354/890,487 = 890,487/x
  3. Step 3: Cross multiply
    609,354x = 890,487 × 890,487
  4. Step 4: Simplify right side
    609,354x = 792,967,097,169
  5. Step 5: Solve for x
    x = 792,967,097,169/609,354
  6. Step 6: Final answer
    x = 1,301,324.18

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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.