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Finding the Third Proportional to 401,776 and 607,847

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Solution

The third proportional to 401,776 and 607,847 is: 919,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,776 : 607,847 = 607,847 : x
  2. Step 2: Convert to fraction form
    401,776/607,847 = 607,847/x
  3. Step 3: Cross multiply
    401,776x = 607,847 × 607,847
  4. Step 4: Simplify right side
    401,776x = 369,477,975,409
  5. Step 5: Solve for x
    x = 369,477,975,409/401,776
  6. Step 6: Final answer
    x = 919,611.86

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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.