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Finding the Third Proportional to 389,547 and 582,772.50

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Solution

The third proportional to 389,547 and 582,772.50 is: 871,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,547 : 582,772.50 = 582,772.50 : x
  2. Step 2: Convert to fraction form
    389,547/582,772.50 = 582,772.50/x
  3. Step 3: Cross multiply
    389,547x = 582,772.50 × 582,772.50
  4. Step 4: Simplify right side
    389,547x = 339,623,786,756.25
  5. Step 5: Solve for x
    x = 339,623,786,756.25/389,547
  6. Step 6: Final answer
    x = 871,842.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.