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Finding the Third Proportional to 489,010 and 748,045

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Solution

The third proportional to 489,010 and 748,045 is: 1,144,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,010 : 748,045 = 748,045 : x
  2. Step 2: Convert to fraction form
    489,010/748,045 = 748,045/x
  3. Step 3: Cross multiply
    489,010x = 748,045 × 748,045
  4. Step 4: Simplify right side
    489,010x = 559,571,322,025
  5. Step 5: Solve for x
    x = 559,571,322,025/489,010
  6. Step 6: Final answer
    x = 1,144,294.23

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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.