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Finding the Third Proportional to 211,935 and 297,070.50

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Solution

The third proportional to 211,935 and 297,070.50 is: 416,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,935 : 297,070.50 = 297,070.50 : x
  2. Step 2: Convert to fraction form
    211,935/297,070.50 = 297,070.50/x
  3. Step 3: Cross multiply
    211,935x = 297,070.50 × 297,070.50
  4. Step 4: Simplify right side
    211,935x = 88,250,881,970.25
  5. Step 5: Solve for x
    x = 88,250,881,970.25/211,935
  6. Step 6: Final answer
    x = 416,405.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.