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Finding the Third Proportional to 155,490 and 324,789

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Solution

The third proportional to 155,490 and 324,789 is: 678,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,490 : 324,789 = 324,789 : x
  2. Step 2: Convert to fraction form
    155,490/324,789 = 324,789/x
  3. Step 3: Cross multiply
    155,490x = 324,789 × 324,789
  4. Step 4: Simplify right side
    155,490x = 105,487,894,521
  5. Step 5: Solve for x
    x = 105,487,894,521/155,490
  6. Step 6: Final answer
    x = 678,422.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.