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Finding the Third Proportional to 435,915 and 656,386.50

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Solution

The third proportional to 435,915 and 656,386.50 is: 988,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,915 : 656,386.50 = 656,386.50 : x
  2. Step 2: Convert to fraction form
    435,915/656,386.50 = 656,386.50/x
  3. Step 3: Cross multiply
    435,915x = 656,386.50 × 656,386.50
  4. Step 4: Simplify right side
    435,915x = 430,843,237,382.25
  5. Step 5: Solve for x
    x = 430,843,237,382.25/435,915
  6. Step 6: Final answer
    x = 988,365.25

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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.