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Finding the Third Proportional to 657,478.69 and 983,571.19

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Solution

The third proportional to 657,478.69 and 983,571.19 is: 1,471,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,478.69 : 983,571.19 = 983,571.19 : x
  2. Step 2: Convert to fraction form
    657,478.69/983,571.19 = 983,571.19/x
  3. Step 3: Cross multiply
    657,478.69x = 983,571.19 × 983,571.19
  4. Step 4: Simplify right side
    657,478.69x = 967,412,280,880.16
  5. Step 5: Solve for x
    x = 967,412,280,880.16/657,478.69
  6. Step 6: Final answer
    x = 1,471,397.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.