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Finding the Third Proportional to 257,165.50 and 556,613

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Solution

The third proportional to 257,165.50 and 556,613 is: 1,204,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,165.50 : 556,613 = 556,613 : x
  2. Step 2: Convert to fraction form
    257,165.50/556,613 = 556,613/x
  3. Step 3: Cross multiply
    257,165.50x = 556,613 × 556,613
  4. Step 4: Simplify right side
    257,165.50x = 309,818,031,769
  5. Step 5: Solve for x
    x = 309,818,031,769/257,165.50
  6. Step 6: Final answer
    x = 1,204,741.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.