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Finding the Third Proportional to 428,643 and 916,339.50

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Solution

The third proportional to 428,643 and 916,339.50 is: 1,958,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,643 : 916,339.50 = 916,339.50 : x
  2. Step 2: Convert to fraction form
    428,643/916,339.50 = 916,339.50/x
  3. Step 3: Cross multiply
    428,643x = 916,339.50 × 916,339.50
  4. Step 4: Simplify right side
    428,643x = 839,678,079,260.25
  5. Step 5: Solve for x
    x = 839,678,079,260.25/428,643
  6. Step 6: Final answer
    x = 1,958,921.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.