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Finding the Third Proportional to 189,690 and 254,547

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Solution

The third proportional to 189,690 and 254,547 is: 341,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,690 : 254,547 = 254,547 : x
  2. Step 2: Convert to fraction form
    189,690/254,547 = 254,547/x
  3. Step 3: Cross multiply
    189,690x = 254,547 × 254,547
  4. Step 4: Simplify right side
    189,690x = 64,794,175,209
  5. Step 5: Solve for x
    x = 64,794,175,209/189,690
  6. Step 6: Final answer
    x = 341,579.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.