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Finding the Third Proportional to 211,962.45 and 287,829.70

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Solution

The third proportional to 211,962.45 and 287,829.70 is: 390,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,962.45 : 287,829.70 = 287,829.70 : x
  2. Step 2: Convert to fraction form
    211,962.45/287,829.70 = 287,829.70/x
  3. Step 3: Cross multiply
    211,962.45x = 287,829.70 × 287,829.70
  4. Step 4: Simplify right side
    211,962.45x = 82,845,938,001.03
  5. Step 5: Solve for x
    x = 82,845,938,001.03/211,962.45
  6. Step 6: Final answer
    x = 390,851.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.