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Finding the Third Proportional to 305,683 and 719,259

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Solution

The third proportional to 305,683 and 719,259 is: 1,692,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,683 : 719,259 = 719,259 : x
  2. Step 2: Convert to fraction form
    305,683/719,259 = 719,259/x
  3. Step 3: Cross multiply
    305,683x = 719,259 × 719,259
  4. Step 4: Simplify right side
    305,683x = 517,333,509,081
  5. Step 5: Solve for x
    x = 517,333,509,081/305,683
  6. Step 6: Final answer
    x = 1,692,385.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.