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Finding the Third Proportional to 439,786 and 658,526

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Solution

The third proportional to 439,786 and 658,526 is: 986,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,786 : 658,526 = 658,526 : x
  2. Step 2: Convert to fraction form
    439,786/658,526 = 658,526/x
  3. Step 3: Cross multiply
    439,786x = 658,526 × 658,526
  4. Step 4: Simplify right side
    439,786x = 433,656,492,676
  5. Step 5: Solve for x
    x = 433,656,492,676/439,786
  6. Step 6: Final answer
    x = 986,062.52

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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.