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Finding the Third Proportional to 255,528 and 561,280

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Solution

The third proportional to 255,528 and 561,280 is: 1,232,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,528 : 561,280 = 561,280 : x
  2. Step 2: Convert to fraction form
    255,528/561,280 = 561,280/x
  3. Step 3: Cross multiply
    255,528x = 561,280 × 561,280
  4. Step 4: Simplify right side
    255,528x = 315,035,238,400
  5. Step 5: Solve for x
    x = 315,035,238,400/255,528
  6. Step 6: Final answer
    x = 1,232,879.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.