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Finding the Third Proportional to 947,136 and 1,444,342.50

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Solution

The third proportional to 947,136 and 1,444,342.50 is: 2,202,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,136 : 1,444,342.50 = 1,444,342.50 : x
  2. Step 2: Convert to fraction form
    947,136/1,444,342.50 = 1,444,342.50/x
  3. Step 3: Cross multiply
    947,136x = 1,444,342.50 × 1,444,342.50
  4. Step 4: Simplify right side
    947,136x = 2,086,125,257,306.25
  5. Step 5: Solve for x
    x = 2,086,125,257,306.25/947,136
  6. Step 6: Final answer
    x = 2,202,561.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.