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Finding the Third Proportional to 292,996.50 and 621,963

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Solution

The third proportional to 292,996.50 and 621,963 is: 1,320,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,996.50 : 621,963 = 621,963 : x
  2. Step 2: Convert to fraction form
    292,996.50/621,963 = 621,963/x
  3. Step 3: Cross multiply
    292,996.50x = 621,963 × 621,963
  4. Step 4: Simplify right side
    292,996.50x = 386,837,973,369
  5. Step 5: Solve for x
    x = 386,837,973,369/292,996.50
  6. Step 6: Final answer
    x = 1,320,281.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.