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Finding the Third Proportional to 609,352 and 890,484

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Solution

The third proportional to 609,352 and 890,484 is: 1,301,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,352 : 890,484 = 890,484 : x
  2. Step 2: Convert to fraction form
    609,352/890,484 = 890,484/x
  3. Step 3: Cross multiply
    609,352x = 890,484 × 890,484
  4. Step 4: Simplify right side
    609,352x = 792,961,754,256
  5. Step 5: Solve for x
    x = 792,961,754,256/609,352
  6. Step 6: Final answer
    x = 1,301,319.69

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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.