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Finding the Third Proportional to 500,705 and 768,555

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Solution

The third proportional to 500,705 and 768,555 is: 1,179,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,705 : 768,555 = 768,555 : x
  2. Step 2: Convert to fraction form
    500,705/768,555 = 768,555/x
  3. Step 3: Cross multiply
    500,705x = 768,555 × 768,555
  4. Step 4: Simplify right side
    500,705x = 590,676,788,025
  5. Step 5: Solve for x
    x = 590,676,788,025/500,705
  6. Step 6: Final answer
    x = 1,179,690.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.