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Finding the Third Proportional to 216,995 and 328,552.50

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Solution

The third proportional to 216,995 and 328,552.50 is: 497,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,995 : 328,552.50 = 328,552.50 : x
  2. Step 2: Convert to fraction form
    216,995/328,552.50 = 328,552.50/x
  3. Step 3: Cross multiply
    216,995x = 328,552.50 × 328,552.50
  4. Step 4: Simplify right side
    216,995x = 107,946,745,256.25
  5. Step 5: Solve for x
    x = 107,946,745,256.25/216,995
  6. Step 6: Final answer
    x = 497,461.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.