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Finding the Third Proportional to 873,110 and 1,312,911

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Solution

The third proportional to 873,110 and 1,312,911 is: 1,974,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,110 : 1,312,911 = 1,312,911 : x
  2. Step 2: Convert to fraction form
    873,110/1,312,911 = 1,312,911/x
  3. Step 3: Cross multiply
    873,110x = 1,312,911 × 1,312,911
  4. Step 4: Simplify right side
    873,110x = 1,723,735,293,921
  5. Step 5: Solve for x
    x = 1,723,735,293,921/873,110
  6. Step 6: Final answer
    x = 1,974,247.57

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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.