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Finding the Third Proportional to 145,340 and 312,946

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Solution

The third proportional to 145,340 and 312,946 is: 673,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,340 : 312,946 = 312,946 : x
  2. Step 2: Convert to fraction form
    145,340/312,946 = 312,946/x
  3. Step 3: Cross multiply
    145,340x = 312,946 × 312,946
  4. Step 4: Simplify right side
    145,340x = 97,935,198,916
  5. Step 5: Solve for x
    x = 97,935,198,916/145,340
  6. Step 6: Final answer
    x = 673,835.14

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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.