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Finding the Third Proportional to 608,256 and 889,272

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Solution

The third proportional to 608,256 and 889,272 is: 1,300,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,256 : 889,272 = 889,272 : x
  2. Step 2: Convert to fraction form
    608,256/889,272 = 889,272/x
  3. Step 3: Cross multiply
    608,256x = 889,272 × 889,272
  4. Step 4: Simplify right side
    608,256x = 790,804,689,984
  5. Step 5: Solve for x
    x = 790,804,689,984/608,256
  6. Step 6: Final answer
    x = 1,300,118.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.