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Finding the Third Proportional to 430,997 and 649,776

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Solution

The third proportional to 430,997 and 649,776 is: 979,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,997 : 649,776 = 649,776 : x
  2. Step 2: Convert to fraction form
    430,997/649,776 = 649,776/x
  3. Step 3: Cross multiply
    430,997x = 649,776 × 649,776
  4. Step 4: Simplify right side
    430,997x = 422,208,850,176
  5. Step 5: Solve for x
    x = 422,208,850,176/430,997
  6. Step 6: Final answer
    x = 979,609.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.