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Finding the Third Proportional to 320,724 and 507,821

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Solution

The third proportional to 320,724 and 507,821 is: 804,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,724 : 507,821 = 507,821 : x
  2. Step 2: Convert to fraction form
    320,724/507,821 = 507,821/x
  3. Step 3: Cross multiply
    320,724x = 507,821 × 507,821
  4. Step 4: Simplify right side
    320,724x = 257,882,168,041
  5. Step 5: Solve for x
    x = 257,882,168,041/320,724
  6. Step 6: Final answer
    x = 804,062.58

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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.