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Finding the Third Proportional to 76,702,405 and 164,173,871

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Solution

The third proportional to 76,702,405 and 164,173,871 is: 351,397,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702,405 : 164,173,871 = 164,173,871 : x
  2. Step 2: Convert to fraction form
    76,702,405/164,173,871 = 164,173,871/x
  3. Step 3: Cross multiply
    76,702,405x = 164,173,871 × 164,173,871
  4. Step 4: Simplify right side
    76,702,405x = 26,953,059,919,124,640
  5. Step 5: Solve for x
    x = 26,953,059,919,124,640/76,702,405
  6. Step 6: Final answer
    x = 351,397,846.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.