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Finding the Third Proportional to 220,714,908 and 520,286,478

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Solution

The third proportional to 220,714,908 and 520,286,478 is: 1,226,460,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,714,908 : 520,286,478 = 520,286,478 : x
  2. Step 2: Convert to fraction form
    220,714,908/520,286,478 = 520,286,478/x
  3. Step 3: Cross multiply
    220,714,908x = 520,286,478 × 520,286,478
  4. Step 4: Simplify right side
    220,714,908x = 270,698,019,189,644,480
  5. Step 5: Solve for x
    x = 270,698,019,189,644,480/220,714,908
  6. Step 6: Final answer
    x = 1,226,460,059.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.