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Finding the Third Proportional to 153,154 and 324,492

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Solution

The third proportional to 153,154 and 324,492 is: 687,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,154 : 324,492 = 324,492 : x
  2. Step 2: Convert to fraction form
    153,154/324,492 = 324,492/x
  3. Step 3: Cross multiply
    153,154x = 324,492 × 324,492
  4. Step 4: Simplify right side
    153,154x = 105,295,058,064
  5. Step 5: Solve for x
    x = 105,295,058,064/153,154
  6. Step 6: Final answer
    x = 687,510.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.