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Finding the Third Proportional to 357,074 and 489,627

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Solution

The third proportional to 357,074 and 489,627 is: 671,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,074 : 489,627 = 489,627 : x
  2. Step 2: Convert to fraction form
    357,074/489,627 = 489,627/x
  3. Step 3: Cross multiply
    357,074x = 489,627 × 489,627
  4. Step 4: Simplify right side
    357,074x = 239,734,599,129
  5. Step 5: Solve for x
    x = 239,734,599,129/357,074
  6. Step 6: Final answer
    x = 671,386.32

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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.