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Finding the Third Proportional to 142,720 and 310,864

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Solution

The third proportional to 142,720 and 310,864 is: 677,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,720 : 310,864 = 310,864 : x
  2. Step 2: Convert to fraction form
    142,720/310,864 = 310,864/x
  3. Step 3: Cross multiply
    142,720x = 310,864 × 310,864
  4. Step 4: Simplify right side
    142,720x = 96,636,426,496
  5. Step 5: Solve for x
    x = 96,636,426,496/142,720
  6. Step 6: Final answer
    x = 677,105.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.