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Finding the Third Proportional to 125,053 and 254,732

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Solution

The third proportional to 125,053 and 254,732 is: 518,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,053 : 254,732 = 254,732 : x
  2. Step 2: Convert to fraction form
    125,053/254,732 = 254,732/x
  3. Step 3: Cross multiply
    125,053x = 254,732 × 254,732
  4. Step 4: Simplify right side
    125,053x = 64,888,391,824
  5. Step 5: Solve for x
    x = 64,888,391,824/125,053
  6. Step 6: Final answer
    x = 518,887.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.