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Finding the Third Proportional to 413,622 and 604,012.50

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Solution

The third proportional to 413,622 and 604,012.50 is: 882,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,622 : 604,012.50 = 604,012.50 : x
  2. Step 2: Convert to fraction form
    413,622/604,012.50 = 604,012.50/x
  3. Step 3: Cross multiply
    413,622x = 604,012.50 × 604,012.50
  4. Step 4: Simplify right side
    413,622x = 364,831,100,156.25
  5. Step 5: Solve for x
    x = 364,831,100,156.25/413,622
  6. Step 6: Final answer
    x = 882,039.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.