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Finding the Third Proportional to 440,853 and 659,574

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Solution

The third proportional to 440,853 and 659,574 is: 986,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,853 : 659,574 = 659,574 : x
  2. Step 2: Convert to fraction form
    440,853/659,574 = 659,574/x
  3. Step 3: Cross multiply
    440,853x = 659,574 × 659,574
  4. Step 4: Simplify right side
    440,853x = 435,037,861,476
  5. Step 5: Solve for x
    x = 435,037,861,476/440,853
  6. Step 6: Final answer
    x = 986,809.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.