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Finding the Third Proportional to 440,713.50 and 989,283

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Solution

The third proportional to 440,713.50 and 989,283 is: 2,220,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,713.50 : 989,283 = 989,283 : x
  2. Step 2: Convert to fraction form
    440,713.50/989,283 = 989,283/x
  3. Step 3: Cross multiply
    440,713.50x = 989,283 × 989,283
  4. Step 4: Simplify right side
    440,713.50x = 978,680,854,089
  5. Step 5: Solve for x
    x = 978,680,854,089/440,713.50
  6. Step 6: Final answer
    x = 2,220,673.64

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.