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Finding the Third Proportional to 141,302 and 310,492

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Solution

The third proportional to 141,302 and 310,492 is: 682,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,302 : 310,492 = 310,492 : x
  2. Step 2: Convert to fraction form
    141,302/310,492 = 310,492/x
  3. Step 3: Cross multiply
    141,302x = 310,492 × 310,492
  4. Step 4: Simplify right side
    141,302x = 96,405,282,064
  5. Step 5: Solve for x
    x = 96,405,282,064/141,302
  6. Step 6: Final answer
    x = 682,264.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.