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Finding the Third Proportional to 254,387 and 402,722

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Solution

The third proportional to 254,387 and 402,722 is: 637,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,387 : 402,722 = 402,722 : x
  2. Step 2: Convert to fraction form
    254,387/402,722 = 402,722/x
  3. Step 3: Cross multiply
    254,387x = 402,722 × 402,722
  4. Step 4: Simplify right side
    254,387x = 162,185,009,284
  5. Step 5: Solve for x
    x = 162,185,009,284/254,387
  6. Step 6: Final answer
    x = 637,552.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.