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Finding the Third Proportional to 145,338 and 312,942

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Solution

The third proportional to 145,338 and 312,942 is: 673,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,338 : 312,942 = 312,942 : x
  2. Step 2: Convert to fraction form
    145,338/312,942 = 312,942/x
  3. Step 3: Cross multiply
    145,338x = 312,942 × 312,942
  4. Step 4: Simplify right side
    145,338x = 97,932,695,364
  5. Step 5: Solve for x
    x = 97,932,695,364/145,338
  6. Step 6: Final answer
    x = 673,827.18

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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.