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Finding the Third Proportional to 254,858.25 and 356,547

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Solution

The third proportional to 254,858.25 and 356,547 is: 498,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,858.25 : 356,547 = 356,547 : x
  2. Step 2: Convert to fraction form
    254,858.25/356,547 = 356,547/x
  3. Step 3: Cross multiply
    254,858.25x = 356,547 × 356,547
  4. Step 4: Simplify right side
    254,858.25x = 127,125,763,209
  5. Step 5: Solve for x
    x = 127,125,763,209/254,858.25
  6. Step 6: Final answer
    x = 498,809.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.