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Finding the Third Proportional to 255,924 and 528,240

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Solution

The third proportional to 255,924 and 528,240 is: 1,090,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,924 : 528,240 = 528,240 : x
  2. Step 2: Convert to fraction form
    255,924/528,240 = 528,240/x
  3. Step 3: Cross multiply
    255,924x = 528,240 × 528,240
  4. Step 4: Simplify right side
    255,924x = 279,037,497,600
  5. Step 5: Solve for x
    x = 279,037,497,600/255,924
  6. Step 6: Final answer
    x = 1,090,313.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.