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Finding the Third Proportional to 490,968 and 761,988

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Solution

The third proportional to 490,968 and 761,988 is: 1,182,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,968 : 761,988 = 761,988 : x
  2. Step 2: Convert to fraction form
    490,968/761,988 = 761,988/x
  3. Step 3: Cross multiply
    490,968x = 761,988 × 761,988
  4. Step 4: Simplify right side
    490,968x = 580,625,712,144
  5. Step 5: Solve for x
    x = 580,625,712,144/490,968
  6. Step 6: Final answer
    x = 1,182,614.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.