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Finding the Third Proportional to 270,477 and 577,140

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Solution

The third proportional to 270,477 and 577,140 is: 1,231,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,477 : 577,140 = 577,140 : x
  2. Step 2: Convert to fraction form
    270,477/577,140 = 577,140/x
  3. Step 3: Cross multiply
    270,477x = 577,140 × 577,140
  4. Step 4: Simplify right side
    270,477x = 333,090,579,600
  5. Step 5: Solve for x
    x = 333,090,579,600/270,477
  6. Step 6: Final answer
    x = 1,231,493.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.