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Finding the Third Proportional to 440,790 and 654,705

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Solution

The third proportional to 440,790 and 654,705 is: 972,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,790 : 654,705 = 654,705 : x
  2. Step 2: Convert to fraction form
    440,790/654,705 = 654,705/x
  3. Step 3: Cross multiply
    440,790x = 654,705 × 654,705
  4. Step 4: Simplify right side
    440,790x = 428,638,637,025
  5. Step 5: Solve for x
    x = 428,638,637,025/440,790
  6. Step 6: Final answer
    x = 972,432.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.