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Finding the Third Proportional to 489,110 and 729,152

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Solution

The third proportional to 489,110 and 729,152 is: 1,087,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,110 : 729,152 = 729,152 : x
  2. Step 2: Convert to fraction form
    489,110/729,152 = 729,152/x
  3. Step 3: Cross multiply
    489,110x = 729,152 × 729,152
  4. Step 4: Simplify right side
    489,110x = 531,662,639,104
  5. Step 5: Solve for x
    x = 531,662,639,104/489,110
  6. Step 6: Final answer
    x = 1,087,000.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.