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Finding the Third Proportional to 375,915 and 810,513

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Solution

The third proportional to 375,915 and 810,513 is: 1,747,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,915 : 810,513 = 810,513 : x
  2. Step 2: Convert to fraction form
    375,915/810,513 = 810,513/x
  3. Step 3: Cross multiply
    375,915x = 810,513 × 810,513
  4. Step 4: Simplify right side
    375,915x = 656,931,323,169
  5. Step 5: Solve for x
    x = 656,931,323,169/375,915
  6. Step 6: Final answer
    x = 1,747,552.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.