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Finding the Third Proportional to 145,372 and 318,392

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Solution

The third proportional to 145,372 and 318,392 is: 697,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,372 : 318,392 = 318,392 : x
  2. Step 2: Convert to fraction form
    145,372/318,392 = 318,392/x
  3. Step 3: Cross multiply
    145,372x = 318,392 × 318,392
  4. Step 4: Simplify right side
    145,372x = 101,373,465,664
  5. Step 5: Solve for x
    x = 101,373,465,664/145,372
  6. Step 6: Final answer
    x = 697,338.32

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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.