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Finding the Third Proportional to 216,989 and 328,543.50

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Solution

The third proportional to 216,989 and 328,543.50 is: 497,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,989 : 328,543.50 = 328,543.50 : x
  2. Step 2: Convert to fraction form
    216,989/328,543.50 = 328,543.50/x
  3. Step 3: Cross multiply
    216,989x = 328,543.50 × 328,543.50
  4. Step 4: Simplify right side
    216,989x = 107,940,831,392.25
  5. Step 5: Solve for x
    x = 107,940,831,392.25/216,989
  6. Step 6: Final answer
    x = 497,448.40

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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.