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Finding the Third Proportional to 305,388 and 461,430

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Solution

The third proportional to 305,388 and 461,430 is: 697,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,388 : 461,430 = 461,430 : x
  2. Step 2: Convert to fraction form
    305,388/461,430 = 461,430/x
  3. Step 3: Cross multiply
    305,388x = 461,430 × 461,430
  4. Step 4: Simplify right side
    305,388x = 212,917,644,900
  5. Step 5: Solve for x
    x = 212,917,644,900/305,388
  6. Step 6: Final answer
    x = 697,203.70

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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.