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Finding the Third Proportional to 356,711 and 489,139

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Solution

The third proportional to 356,711 and 489,139 is: 670,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,711 : 489,139 = 489,139 : x
  2. Step 2: Convert to fraction form
    356,711/489,139 = 489,139/x
  3. Step 3: Cross multiply
    356,711x = 489,139 × 489,139
  4. Step 4: Simplify right side
    356,711x = 239,256,961,321
  5. Step 5: Solve for x
    x = 239,256,961,321/356,711
  6. Step 6: Final answer
    x = 670,730.54

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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.