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Finding the Third Proportional to 301,769 and 455,729

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Solution

The third proportional to 301,769 and 455,729 is: 688,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,769 : 455,729 = 455,729 : x
  2. Step 2: Convert to fraction form
    301,769/455,729 = 455,729/x
  3. Step 3: Cross multiply
    301,769x = 455,729 × 455,729
  4. Step 4: Simplify right side
    301,769x = 207,688,921,441
  5. Step 5: Solve for x
    x = 207,688,921,441/301,769
  6. Step 6: Final answer
    x = 688,238.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.