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Finding the Third Proportional to 291,489 and 428,896.50

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Solution

The third proportional to 291,489 and 428,896.50 is: 631,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,489 : 428,896.50 = 428,896.50 : x
  2. Step 2: Convert to fraction form
    291,489/428,896.50 = 428,896.50/x
  3. Step 3: Cross multiply
    291,489x = 428,896.50 × 428,896.50
  4. Step 4: Simplify right side
    291,489x = 183,952,207,712.25
  5. Step 5: Solve for x
    x = 183,952,207,712.25/291,489
  6. Step 6: Final answer
    x = 631,077.70

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