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Finding the Third Proportional to 642,136 and 944,584

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Solution

The third proportional to 642,136 and 944,584 is: 1,389,485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,136 : 944,584 = 944,584 : x
  2. Step 2: Convert to fraction form
    642,136/944,584 = 944,584/x
  3. Step 3: Cross multiply
    642,136x = 944,584 × 944,584
  4. Step 4: Simplify right side
    642,136x = 892,238,933,056
  5. Step 5: Solve for x
    x = 892,238,933,056/642,136
  6. Step 6: Final answer
    x = 1,389,485.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.