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Finding the Third Proportional to 320,550 and 507,583

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Solution

The third proportional to 320,550 and 507,583 is: 803,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,550 : 507,583 = 507,583 : x
  2. Step 2: Convert to fraction form
    320,550/507,583 = 507,583/x
  3. Step 3: Cross multiply
    320,550x = 507,583 × 507,583
  4. Step 4: Simplify right side
    320,550x = 257,640,501,889
  5. Step 5: Solve for x
    x = 257,640,501,889/320,550
  6. Step 6: Final answer
    x = 803,745.13

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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.