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Finding the Third Proportional to 335,383 and 507,407

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Solution

The third proportional to 335,383 and 507,407 is: 767,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,383 : 507,407 = 507,407 : x
  2. Step 2: Convert to fraction form
    335,383/507,407 = 507,407/x
  3. Step 3: Cross multiply
    335,383x = 507,407 × 507,407
  4. Step 4: Simplify right side
    335,383x = 257,461,863,649
  5. Step 5: Solve for x
    x = 257,461,863,649/335,383
  6. Step 6: Final answer
    x = 767,665.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.