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Finding the Third Proportional to 320,559 and 507,588.75

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Solution

The third proportional to 320,559 and 507,588.75 is: 803,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,559 : 507,588.75 = 507,588.75 : x
  2. Step 2: Convert to fraction form
    320,559/507,588.75 = 507,588.75/x
  3. Step 3: Cross multiply
    320,559x = 507,588.75 × 507,588.75
  4. Step 4: Simplify right side
    320,559x = 257,646,339,126.56
  5. Step 5: Solve for x
    x = 257,646,339,126.56/320,559
  6. Step 6: Final answer
    x = 803,740.78

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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.