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Finding the Third Proportional to 21,107,992.50 and 31,477,464

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Solution

The third proportional to 21,107,992.50 and 31,477,464 is: 46,941,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107,992.50 : 31,477,464 = 31,477,464 : x
  2. Step 2: Convert to fraction form
    21,107,992.50/31,477,464 = 31,477,464/x
  3. Step 3: Cross multiply
    21,107,992.50x = 31,477,464 × 31,477,464
  4. Step 4: Simplify right side
    21,107,992.50x = 990,830,739,871,296
  5. Step 5: Solve for x
    x = 990,830,739,871,296/21,107,992.50
  6. Step 6: Final answer
    x = 46,941,021.98

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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.