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Finding the Third Proportional to 609,356 and 890,490

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Solution

The third proportional to 609,356 and 890,490 is: 1,301,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,356 : 890,490 = 890,490 : x
  2. Step 2: Convert to fraction form
    609,356/890,490 = 890,490/x
  3. Step 3: Cross multiply
    609,356x = 890,490 × 890,490
  4. Step 4: Simplify right side
    609,356x = 792,972,440,100
  5. Step 5: Solve for x
    x = 792,972,440,100/609,356
  6. Step 6: Final answer
    x = 1,301,328.68

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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.