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Finding the Third Proportional to 357,057 and 489,609

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Solution

The third proportional to 357,057 and 489,609 is: 671,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,057 : 489,609 = 489,609 : x
  2. Step 2: Convert to fraction form
    357,057/489,609 = 489,609/x
  3. Step 3: Cross multiply
    357,057x = 489,609 × 489,609
  4. Step 4: Simplify right side
    357,057x = 239,716,972,881
  5. Step 5: Solve for x
    x = 239,716,972,881/357,057
  6. Step 6: Final answer
    x = 671,368.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.