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Finding the Third Proportional to 4,122,412 and 5,420,953.50

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Solution

The third proportional to 4,122,412 and 5,420,953.50 is: 7,128,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122,412 : 5,420,953.50 = 5,420,953.50 : x
  2. Step 2: Convert to fraction form
    4,122,412/5,420,953.50 = 5,420,953.50/x
  3. Step 3: Cross multiply
    4,122,412x = 5,420,953.50 × 5,420,953.50
  4. Step 4: Simplify right side
    4,122,412x = 29,386,736,849,162.25
  5. Step 5: Solve for x
    x = 29,386,736,849,162.25/4,122,412
  6. Step 6: Final answer
    x = 7,128,529.81

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.