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Finding the Third Proportional to 254,657 and 539,669

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Solution

The third proportional to 254,657 and 539,669 is: 1,143,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,657 : 539,669 = 539,669 : x
  2. Step 2: Convert to fraction form
    254,657/539,669 = 539,669/x
  3. Step 3: Cross multiply
    254,657x = 539,669 × 539,669
  4. Step 4: Simplify right side
    254,657x = 291,242,629,561
  5. Step 5: Solve for x
    x = 291,242,629,561/254,657
  6. Step 6: Final answer
    x = 1,143,666.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.