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Finding the Third Proportional to 320,551 and 507,584.50

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Solution

The third proportional to 320,551 and 507,584.50 is: 803,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,551 : 507,584.50 = 507,584.50 : x
  2. Step 2: Convert to fraction form
    320,551/507,584.50 = 507,584.50/x
  3. Step 3: Cross multiply
    320,551x = 507,584.50 × 507,584.50
  4. Step 4: Simplify right side
    320,551x = 257,642,024,640.25
  5. Step 5: Solve for x
    x = 257,642,024,640.25/320,551
  6. Step 6: Final answer
    x = 803,747.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.