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Finding the Third Proportional to 231,690 and 507,664

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Solution

The third proportional to 231,690 and 507,664 is: 1,112,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,690 : 507,664 = 507,664 : x
  2. Step 2: Convert to fraction form
    231,690/507,664 = 507,664/x
  3. Step 3: Cross multiply
    231,690x = 507,664 × 507,664
  4. Step 4: Simplify right side
    231,690x = 257,722,736,896
  5. Step 5: Solve for x
    x = 257,722,736,896/231,690
  6. Step 6: Final answer
    x = 1,112,360.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.