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Finding the Third Proportional to 141,972 and 310,440

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Solution

The third proportional to 141,972 and 310,440 is: 678,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,972 : 310,440 = 310,440 : x
  2. Step 2: Convert to fraction form
    141,972/310,440 = 310,440/x
  3. Step 3: Cross multiply
    141,972x = 310,440 × 310,440
  4. Step 4: Simplify right side
    141,972x = 96,372,993,600
  5. Step 5: Solve for x
    x = 96,372,993,600/141,972
  6. Step 6: Final answer
    x = 678,816.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.