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Finding the Third Proportional to 142,050 and 311,748

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Solution

The third proportional to 142,050 and 311,748 is: 684,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,050 : 311,748 = 311,748 : x
  2. Step 2: Convert to fraction form
    142,050/311,748 = 311,748/x
  3. Step 3: Cross multiply
    142,050x = 311,748 × 311,748
  4. Step 4: Simplify right side
    142,050x = 97,186,815,504
  5. Step 5: Solve for x
    x = 97,186,815,504/142,050
  6. Step 6: Final answer
    x = 684,173.29

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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.