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Finding the Third Proportional to 412,907.63 and 611,686.69

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Solution

The third proportional to 412,907.63 and 611,686.69 is: 906,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,907.63 : 611,686.69 = 611,686.69 : x
  2. Step 2: Convert to fraction form
    412,907.63/611,686.69 = 611,686.69/x
  3. Step 3: Cross multiply
    412,907.63x = 611,686.69 × 611,686.69
  4. Step 4: Simplify right side
    412,907.63x = 374,160,603,664.72
  5. Step 5: Solve for x
    x = 374,160,603,664.72/412,907.63
  6. Step 6: Final answer
    x = 906,160.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.