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Finding the Third Proportional to 291,218 and 456,916

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Solution

The third proportional to 291,218 and 456,916 is: 716,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,218 : 456,916 = 456,916 : x
  2. Step 2: Convert to fraction form
    291,218/456,916 = 456,916/x
  3. Step 3: Cross multiply
    291,218x = 456,916 × 456,916
  4. Step 4: Simplify right side
    291,218x = 208,772,231,056
  5. Step 5: Solve for x
    x = 208,772,231,056/291,218
  6. Step 6: Final answer
    x = 716,893.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.