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Finding the Third Proportional to 357,054.75 and 489,605.25

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Solution

The third proportional to 357,054.75 and 489,605.25 is: 671,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,054.75 : 489,605.25 = 489,605.25 : x
  2. Step 2: Convert to fraction form
    357,054.75/489,605.25 = 489,605.25/x
  3. Step 3: Cross multiply
    357,054.75x = 489,605.25 × 489,605.25
  4. Step 4: Simplify right side
    357,054.75x = 239,713,300,827.56
  5. Step 5: Solve for x
    x = 239,713,300,827.56/357,054.75
  6. Step 6: Final answer
    x = 671,362.87

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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.