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Finding the Third Proportional to 305,685 and 719,263

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Solution

The third proportional to 305,685 and 719,263 is: 1,692,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,685 : 719,263 = 719,263 : x
  2. Step 2: Convert to fraction form
    305,685/719,263 = 719,263/x
  3. Step 3: Cross multiply
    305,685x = 719,263 × 719,263
  4. Step 4: Simplify right side
    305,685x = 517,339,263,169
  5. Step 5: Solve for x
    x = 517,339,263,169/305,685
  6. Step 6: Final answer
    x = 1,692,393.36

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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.