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Finding the Third Proportional to 178,516 and 257,946

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Solution

The third proportional to 178,516 and 257,946 is: 372,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,516 : 257,946 = 257,946 : x
  2. Step 2: Convert to fraction form
    178,516/257,946 = 257,946/x
  3. Step 3: Cross multiply
    178,516x = 257,946 × 257,946
  4. Step 4: Simplify right side
    178,516x = 66,536,138,916
  5. Step 5: Solve for x
    x = 66,536,138,916/178,516
  6. Step 6: Final answer
    x = 372,718.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.