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Finding the Third Proportional to 720,415 and 1,667,630.50

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Solution

The third proportional to 720,415 and 1,667,630.50 is: 3,860,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,415 : 1,667,630.50 = 1,667,630.50 : x
  2. Step 2: Convert to fraction form
    720,415/1,667,630.50 = 1,667,630.50/x
  3. Step 3: Cross multiply
    720,415x = 1,667,630.50 × 1,667,630.50
  4. Step 4: Simplify right side
    720,415x = 2,780,991,484,530.25
  5. Step 5: Solve for x
    x = 2,780,991,484,530.25/720,415
  6. Step 6: Final answer
    x = 3,860,263.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.