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Finding the Third Proportional to 239,688 and 522,272

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Solution

The third proportional to 239,688 and 522,272 is: 1,138,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,688 : 522,272 = 522,272 : x
  2. Step 2: Convert to fraction form
    239,688/522,272 = 522,272/x
  3. Step 3: Cross multiply
    239,688x = 522,272 × 522,272
  4. Step 4: Simplify right side
    239,688x = 272,768,041,984
  5. Step 5: Solve for x
    x = 272,768,041,984/239,688
  6. Step 6: Final answer
    x = 1,138,012.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.