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Finding the Third Proportional to 216,289 and 336,070.50

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Solution

The third proportional to 216,289 and 336,070.50 is: 522,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,289 : 336,070.50 = 336,070.50 : x
  2. Step 2: Convert to fraction form
    216,289/336,070.50 = 336,070.50/x
  3. Step 3: Cross multiply
    216,289x = 336,070.50 × 336,070.50
  4. Step 4: Simplify right side
    216,289x = 112,943,380,970.25
  5. Step 5: Solve for x
    x = 112,943,380,970.25/216,289
  6. Step 6: Final answer
    x = 522,187.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.