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Finding the Third Proportional to 489,762 and 749,142

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Solution

The third proportional to 489,762 and 749,142 is: 1,145,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,762 : 749,142 = 749,142 : x
  2. Step 2: Convert to fraction form
    489,762/749,142 = 749,142/x
  3. Step 3: Cross multiply
    489,762x = 749,142 × 749,142
  4. Step 4: Simplify right side
    489,762x = 561,213,736,164
  5. Step 5: Solve for x
    x = 561,213,736,164/489,762
  6. Step 6: Final answer
    x = 1,145,890.73

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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.