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Finding the Third Proportional to 210,420 and 295,972

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Solution

The third proportional to 210,420 and 295,972 is: 416,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,420 : 295,972 = 295,972 : x
  2. Step 2: Convert to fraction form
    210,420/295,972 = 295,972/x
  3. Step 3: Cross multiply
    210,420x = 295,972 × 295,972
  4. Step 4: Simplify right side
    210,420x = 87,599,424,784
  5. Step 5: Solve for x
    x = 87,599,424,784/210,420
  6. Step 6: Final answer
    x = 416,307.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.