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Finding the Third Proportional to 345,022.50 and 528,649.50

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Solution

The third proportional to 345,022.50 and 528,649.50 is: 810,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,022.50 : 528,649.50 = 528,649.50 : x
  2. Step 2: Convert to fraction form
    345,022.50/528,649.50 = 528,649.50/x
  3. Step 3: Cross multiply
    345,022.50x = 528,649.50 × 528,649.50
  4. Step 4: Simplify right side
    345,022.50x = 279,470,293,850.25
  5. Step 5: Solve for x
    x = 279,470,293,850.25/345,022.50
  6. Step 6: Final answer
    x = 810,006.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.