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Finding the Third Proportional to 142,774 and 310,988

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Solution

The third proportional to 142,774 and 310,988 is: 677,388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,774 : 310,988 = 310,988 : x
  2. Step 2: Convert to fraction form
    142,774/310,988 = 310,988/x
  3. Step 3: Cross multiply
    142,774x = 310,988 × 310,988
  4. Step 4: Simplify right side
    142,774x = 96,713,536,144
  5. Step 5: Solve for x
    x = 96,713,536,144/142,774
  6. Step 6: Final answer
    x = 677,388.99

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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.