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Finding the Third Proportional to 242,690 and 367,431

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Solution

The third proportional to 242,690 and 367,431 is: 556,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,690 : 367,431 = 367,431 : x
  2. Step 2: Convert to fraction form
    242,690/367,431 = 367,431/x
  3. Step 3: Cross multiply
    242,690x = 367,431 × 367,431
  4. Step 4: Simplify right side
    242,690x = 135,005,539,761
  5. Step 5: Solve for x
    x = 135,005,539,761/242,690
  6. Step 6: Final answer
    x = 556,288.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.