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Finding the Third Proportional to 255,386 and 555,448

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Solution

The third proportional to 255,386 and 555,448 is: 1,208,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,386 : 555,448 = 555,448 : x
  2. Step 2: Convert to fraction form
    255,386/555,448 = 555,448/x
  3. Step 3: Cross multiply
    255,386x = 555,448 × 555,448
  4. Step 4: Simplify right side
    255,386x = 308,522,480,704
  5. Step 5: Solve for x
    x = 308,522,480,704/255,386
  6. Step 6: Final answer
    x = 1,208,063.40

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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.