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Finding the Third Proportional to 208,420 and 322,927.50

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Solution

The third proportional to 208,420 and 322,927.50 is: 500,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,420 : 322,927.50 = 322,927.50 : x
  2. Step 2: Convert to fraction form
    208,420/322,927.50 = 322,927.50/x
  3. Step 3: Cross multiply
    208,420x = 322,927.50 × 322,927.50
  4. Step 4: Simplify right side
    208,420x = 104,282,170,256.25
  5. Step 5: Solve for x
    x = 104,282,170,256.25/208,420
  6. Step 6: Final answer
    x = 500,346.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.