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Finding the Third Proportional to 345,210.75 and 464,362.50

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Solution

The third proportional to 345,210.75 and 464,362.50 is: 624,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,210.75 : 464,362.50 = 464,362.50 : x
  2. Step 2: Convert to fraction form
    345,210.75/464,362.50 = 464,362.50/x
  3. Step 3: Cross multiply
    345,210.75x = 464,362.50 × 464,362.50
  4. Step 4: Simplify right side
    345,210.75x = 215,632,531,406.25
  5. Step 5: Solve for x
    x = 215,632,531,406.25/345,210.75
  6. Step 6: Final answer
    x = 624,640.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.