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Finding the Third Proportional to 255,650 and 378,553

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Solution

The third proportional to 255,650 and 378,553 is: 560,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,650 : 378,553 = 378,553 : x
  2. Step 2: Convert to fraction form
    255,650/378,553 = 378,553/x
  3. Step 3: Cross multiply
    255,650x = 378,553 × 378,553
  4. Step 4: Simplify right side
    255,650x = 143,302,373,809
  5. Step 5: Solve for x
    x = 143,302,373,809/255,650
  6. Step 6: Final answer
    x = 560,541.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.