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Finding the Third Proportional to 122,489 and 262,473

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Solution

The third proportional to 122,489 and 262,473 is: 562,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,489 : 262,473 = 262,473 : x
  2. Step 2: Convert to fraction form
    122,489/262,473 = 262,473/x
  3. Step 3: Cross multiply
    122,489x = 262,473 × 262,473
  4. Step 4: Simplify right side
    122,489x = 68,892,075,729
  5. Step 5: Solve for x
    x = 68,892,075,729/122,489
  6. Step 6: Final answer
    x = 562,434.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.