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Finding the Third Proportional to 153,485.50 and 322,876.50

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Solution

The third proportional to 153,485.50 and 322,876.50 is: 679,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,485.50 : 322,876.50 = 322,876.50 : x
  2. Step 2: Convert to fraction form
    153,485.50/322,876.50 = 322,876.50/x
  3. Step 3: Cross multiply
    153,485.50x = 322,876.50 × 322,876.50
  4. Step 4: Simplify right side
    153,485.50x = 104,249,234,252.25
  5. Step 5: Solve for x
    x = 104,249,234,252.25/153,485.50
  6. Step 6: Final answer
    x = 679,212.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.