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Finding the Third Proportional to 142,884 and 310,392

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Solution

The third proportional to 142,884 and 310,392 is: 674,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,884 : 310,392 = 310,392 : x
  2. Step 2: Convert to fraction form
    142,884/310,392 = 310,392/x
  3. Step 3: Cross multiply
    142,884x = 310,392 × 310,392
  4. Step 4: Simplify right side
    142,884x = 96,343,193,664
  5. Step 5: Solve for x
    x = 96,343,193,664/142,884
  6. Step 6: Final answer
    x = 674,275.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.