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Finding the Third Proportional to 485,501 and 761,611

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Solution

The third proportional to 485,501 and 761,611 is: 1,194,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,501 : 761,611 = 761,611 : x
  2. Step 2: Convert to fraction form
    485,501/761,611 = 761,611/x
  3. Step 3: Cross multiply
    485,501x = 761,611 × 761,611
  4. Step 4: Simplify right side
    485,501x = 580,051,315,321
  5. Step 5: Solve for x
    x = 580,051,315,321/485,501
  6. Step 6: Final answer
    x = 1,194,747.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.