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Finding the Third Proportional to 345,013.50 and 742,515

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Solution

The third proportional to 345,013.50 and 742,515 is: 1,597,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,013.50 : 742,515 = 742,515 : x
  2. Step 2: Convert to fraction form
    345,013.50/742,515 = 742,515/x
  3. Step 3: Cross multiply
    345,013.50x = 742,515 × 742,515
  4. Step 4: Simplify right side
    345,013.50x = 551,328,525,225
  5. Step 5: Solve for x
    x = 551,328,525,225/345,013.50
  6. Step 6: Final answer
    x = 1,597,991.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.