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Finding the Third Proportional to 142,729 and 307,381

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Solution

The third proportional to 142,729 and 307,381 is: 661,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,729 : 307,381 = 307,381 : x
  2. Step 2: Convert to fraction form
    142,729/307,381 = 307,381/x
  3. Step 3: Cross multiply
    142,729x = 307,381 × 307,381
  4. Step 4: Simplify right side
    142,729x = 94,483,079,161
  5. Step 5: Solve for x
    x = 94,483,079,161/142,729
  6. Step 6: Final answer
    x = 661,975.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.