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Finding the Third Proportional to 320,638.50 and 507,695.63

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Solution

The third proportional to 320,638.50 and 507,695.63 is: 803,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,638.50 : 507,695.63 = 507,695.63 : x
  2. Step 2: Convert to fraction form
    320,638.50/507,695.63 = 507,695.63/x
  3. Step 3: Cross multiply
    320,638.50x = 507,695.63 × 507,695.63
  4. Step 4: Simplify right side
    320,638.50x = 257,754,847,644.14
  5. Step 5: Solve for x
    x = 257,754,847,644.14/320,638.50
  6. Step 6: Final answer
    x = 803,879.91

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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.