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Finding the Third Proportional to 608,266 and 889,287

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Solution

The third proportional to 608,266 and 889,287 is: 1,300,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,266 : 889,287 = 889,287 : x
  2. Step 2: Convert to fraction form
    608,266/889,287 = 889,287/x
  3. Step 3: Cross multiply
    608,266x = 889,287 × 889,287
  4. Step 4: Simplify right side
    608,266x = 790,831,368,369
  5. Step 5: Solve for x
    x = 790,831,368,369/608,266
  6. Step 6: Final answer
    x = 1,300,140.68

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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.