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Finding the Third Proportional to 142,260 and 310,768

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Solution

The third proportional to 142,260 and 310,768 is: 678,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,260 : 310,768 = 310,768 : x
  2. Step 2: Convert to fraction form
    142,260/310,768 = 310,768/x
  3. Step 3: Cross multiply
    142,260x = 310,768 × 310,768
  4. Step 4: Simplify right side
    142,260x = 96,576,749,824
  5. Step 5: Solve for x
    x = 96,576,749,824/142,260
  6. Step 6: Final answer
    x = 678,874.95

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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.