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Finding the Third Proportional to 255,613 and 553,536

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Solution

The third proportional to 255,613 and 553,536 is: 1,198,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,613 : 553,536 = 553,536 : x
  2. Step 2: Convert to fraction form
    255,613/553,536 = 553,536/x
  3. Step 3: Cross multiply
    255,613x = 553,536 × 553,536
  4. Step 4: Simplify right side
    255,613x = 306,402,103,296
  5. Step 5: Solve for x
    x = 306,402,103,296/255,613
  6. Step 6: Final answer
    x = 1,198,695.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.