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Finding the Third Proportional to 21,031.88 and 31,365

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Solution

The third proportional to 21,031.88 and 31,365 is: 46,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.88 : 31,365 = 31,365 : x
  2. Step 2: Convert to fraction form
    21,031.88/31,365 = 31,365/x
  3. Step 3: Cross multiply
    21,031.88x = 31,365 × 31,365
  4. Step 4: Simplify right side
    21,031.88x = 983,763,225
  5. Step 5: Solve for x
    x = 983,763,225/21,031.88
  6. Step 6: Final answer
    x = 46,774.87

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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.