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Finding the Third Proportional to 489,786 and 756,515

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Solution

The third proportional to 489,786 and 756,515 is: 1,168,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,786 : 756,515 = 756,515 : x
  2. Step 2: Convert to fraction form
    489,786/756,515 = 756,515/x
  3. Step 3: Cross multiply
    489,786x = 756,515 × 756,515
  4. Step 4: Simplify right side
    489,786x = 572,314,945,225
  5. Step 5: Solve for x
    x = 572,314,945,225/489,786
  6. Step 6: Final answer
    x = 1,168,500.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.