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Finding the Third Proportional to 7,275,840 and 12,125,664

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Solution

The third proportional to 7,275,840 and 12,125,664 is: 20,208,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275,840 : 12,125,664 = 12,125,664 : x
  2. Step 2: Convert to fraction form
    7,275,840/12,125,664 = 12,125,664/x
  3. Step 3: Cross multiply
    7,275,840x = 12,125,664 × 12,125,664
  4. Step 4: Simplify right side
    7,275,840x = 147,031,727,440,896
  5. Step 5: Solve for x
    x = 147,031,727,440,896/7,275,840
  6. Step 6: Final answer
    x = 20,208,213.41

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.