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Finding the Third Proportional to 178,470 and 262,783

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Solution

The third proportional to 178,470 and 262,783 is: 386,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,470 : 262,783 = 262,783 : x
  2. Step 2: Convert to fraction form
    178,470/262,783 = 262,783/x
  3. Step 3: Cross multiply
    178,470x = 262,783 × 262,783
  4. Step 4: Simplify right side
    178,470x = 69,054,905,089
  5. Step 5: Solve for x
    x = 69,054,905,089/178,470
  6. Step 6: Final answer
    x = 386,927.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.