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Finding the Third Proportional to 626,145 and 1,340,835

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Solution

The third proportional to 626,145 and 1,340,835 is: 2,871,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,145 : 1,340,835 = 1,340,835 : x
  2. Step 2: Convert to fraction form
    626,145/1,340,835 = 1,340,835/x
  3. Step 3: Cross multiply
    626,145x = 1,340,835 × 1,340,835
  4. Step 4: Simplify right side
    626,145x = 1,797,838,497,225
  5. Step 5: Solve for x
    x = 1,797,838,497,225/626,145
  6. Step 6: Final answer
    x = 2,871,281.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.