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Finding the Third Proportional to 497,007 and 662,178

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Solution

The third proportional to 497,007 and 662,178 is: 882,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,007 : 662,178 = 662,178 : x
  2. Step 2: Convert to fraction form
    497,007/662,178 = 662,178/x
  3. Step 3: Cross multiply
    497,007x = 662,178 × 662,178
  4. Step 4: Simplify right side
    497,007x = 438,479,703,684
  5. Step 5: Solve for x
    x = 438,479,703,684/497,007
  6. Step 6: Final answer
    x = 882,240.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.