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Finding the Third Proportional to 489,144 and 643,220

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Solution

The third proportional to 489,144 and 643,220 is: 845,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,144 : 643,220 = 643,220 : x
  2. Step 2: Convert to fraction form
    489,144/643,220 = 643,220/x
  3. Step 3: Cross multiply
    489,144x = 643,220 × 643,220
  4. Step 4: Simplify right side
    489,144x = 413,731,968,400
  5. Step 5: Solve for x
    x = 413,731,968,400/489,144
  6. Step 6: Final answer
    x = 845,828.57

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.