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Finding the Third Proportional to 574,785 and 845,473.50

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Solution

The third proportional to 574,785 and 845,473.50 is: 1,243,639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,785 : 845,473.50 = 845,473.50 : x
  2. Step 2: Convert to fraction form
    574,785/845,473.50 = 845,473.50/x
  3. Step 3: Cross multiply
    574,785x = 845,473.50 × 845,473.50
  4. Step 4: Simplify right side
    574,785x = 714,825,439,202.25
  5. Step 5: Solve for x
    x = 714,825,439,202.25/574,785
  6. Step 6: Final answer
    x = 1,243,639.69

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Why These Related Problems?

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