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Finding the Third Proportional to 253,967 and 557,776

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Solution

The third proportional to 253,967 and 557,776 is: 1,225,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,967 : 557,776 = 557,776 : x
  2. Step 2: Convert to fraction form
    253,967/557,776 = 557,776/x
  3. Step 3: Cross multiply
    253,967x = 557,776 × 557,776
  4. Step 4: Simplify right side
    253,967x = 311,114,066,176
  5. Step 5: Solve for x
    x = 311,114,066,176/253,967
  6. Step 6: Final answer
    x = 1,225,017.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.