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Finding the Third Proportional to 292,999.50 and 621,972

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Solution

The third proportional to 292,999.50 and 621,972 is: 1,320,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,999.50 : 621,972 = 621,972 : x
  2. Step 2: Convert to fraction form
    292,999.50/621,972 = 621,972/x
  3. Step 3: Cross multiply
    292,999.50x = 621,972 × 621,972
  4. Step 4: Simplify right side
    292,999.50x = 386,849,168,784
  5. Step 5: Solve for x
    x = 386,849,168,784/292,999.50
  6. Step 6: Final answer
    x = 1,320,306.58

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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.