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Finding the Third Proportional to 122,562 and 257,490

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Solution

The third proportional to 122,562 and 257,490 is: 540,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,562 : 257,490 = 257,490 : x
  2. Step 2: Convert to fraction form
    122,562/257,490 = 257,490/x
  3. Step 3: Cross multiply
    122,562x = 257,490 × 257,490
  4. Step 4: Simplify right side
    122,562x = 66,301,100,100
  5. Step 5: Solve for x
    x = 66,301,100,100/122,562
  6. Step 6: Final answer
    x = 540,959.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.