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Finding the Third Proportional to 255,308 and 545,368

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Solution

The third proportional to 255,308 and 545,368 is: 1,164,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,308 : 545,368 = 545,368 : x
  2. Step 2: Convert to fraction form
    255,308/545,368 = 545,368/x
  3. Step 3: Cross multiply
    255,308x = 545,368 × 545,368
  4. Step 4: Simplify right side
    255,308x = 297,426,255,424
  5. Step 5: Solve for x
    x = 297,426,255,424/255,308
  6. Step 6: Final answer
    x = 1,164,970.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.