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Finding the Third Proportional to 357,060 and 489,606

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Solution

The third proportional to 357,060 and 489,606 is: 671,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,060 : 489,606 = 489,606 : x
  2. Step 2: Convert to fraction form
    357,060/489,606 = 489,606/x
  3. Step 3: Cross multiply
    357,060x = 489,606 × 489,606
  4. Step 4: Simplify right side
    357,060x = 239,714,035,236
  5. Step 5: Solve for x
    x = 239,714,035,236/357,060
  6. Step 6: Final answer
    x = 671,355.05

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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.