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Finding the Third Proportional to 122,709 and 262,902

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Solution

The third proportional to 122,709 and 262,902 is: 563,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,709 : 262,902 = 262,902 : x
  2. Step 2: Convert to fraction form
    122,709/262,902 = 262,902/x
  3. Step 3: Cross multiply
    122,709x = 262,902 × 262,902
  4. Step 4: Simplify right side
    122,709x = 69,117,461,604
  5. Step 5: Solve for x
    x = 69,117,461,604/122,709
  6. Step 6: Final answer
    x = 563,263.18

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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.