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Finding the Third Proportional to 507,051 and 779,442

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Solution

The third proportional to 507,051 and 779,442 is: 1,198,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,051 : 779,442 = 779,442 : x
  2. Step 2: Convert to fraction form
    507,051/779,442 = 779,442/x
  3. Step 3: Cross multiply
    507,051x = 779,442 × 779,442
  4. Step 4: Simplify right side
    507,051x = 607,529,831,364
  5. Step 5: Solve for x
    x = 607,529,831,364/507,051
  6. Step 6: Final answer
    x = 1,198,163.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.