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Finding the Third Proportional to 657,208.69 and 992,920.78

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Solution

The third proportional to 657,208.69 and 992,920.78 is: 1,500,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,208.69 : 992,920.78 = 992,920.78 : x
  2. Step 2: Convert to fraction form
    657,208.69/992,920.78 = 992,920.78/x
  3. Step 3: Cross multiply
    657,208.69x = 992,920.78 × 992,920.78
  4. Step 4: Simplify right side
    657,208.69x = 985,891,677,838.11
  5. Step 5: Solve for x
    x = 985,891,677,838.11/657,208.69
  6. Step 6: Final answer
    x = 1,500,119.67

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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.