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Finding the Third Proportional to 21,105,659.64 and 31,534,247.64

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Solution

The third proportional to 21,105,659.64 and 31,534,247.64 is: 47,115,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105,659.64 : 31,534,247.64 = 31,534,247.64 : x
  2. Step 2: Convert to fraction form
    21,105,659.64/31,534,247.64 = 31,534,247.64/x
  3. Step 3: Cross multiply
    21,105,659.64x = 31,534,247.64 × 31,534,247.64
  4. Step 4: Simplify right side
    21,105,659.64x = 994,408,774,013,854.88
  5. Step 5: Solve for x
    x = 994,408,774,013,854.88/21,105,659.64
  6. Step 6: Final answer
    x = 47,115,740.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.