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Finding the Third Proportional to 909,210 and 1,363,815

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Solution

The third proportional to 909,210 and 1,363,815 is: 2,045,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,210 : 1,363,815 = 1,363,815 : x
  2. Step 2: Convert to fraction form
    909,210/1,363,815 = 1,363,815/x
  3. Step 3: Cross multiply
    909,210x = 1,363,815 × 1,363,815
  4. Step 4: Simplify right side
    909,210x = 1,859,991,354,225
  5. Step 5: Solve for x
    x = 1,859,991,354,225/909,210
  6. Step 6: Final answer
    x = 2,045,722.50

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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.