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Finding the Third Proportional to 320,645 and 507,705

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Solution

The third proportional to 320,645 and 507,705 is: 803,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,645 : 507,705 = 507,705 : x
  2. Step 2: Convert to fraction form
    320,645/507,705 = 507,705/x
  3. Step 3: Cross multiply
    320,645x = 507,705 × 507,705
  4. Step 4: Simplify right side
    320,645x = 257,764,367,025
  5. Step 5: Solve for x
    x = 257,764,367,025/320,645
  6. Step 6: Final answer
    x = 803,893.30

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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.