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Finding the Third Proportional to 611,646 and 899,442

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Solution

The third proportional to 611,646 and 899,442 is: 1,322,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,646 : 899,442 = 899,442 : x
  2. Step 2: Convert to fraction form
    611,646/899,442 = 899,442/x
  3. Step 3: Cross multiply
    611,646x = 899,442 × 899,442
  4. Step 4: Simplify right side
    611,646x = 808,995,911,364
  5. Step 5: Solve for x
    x = 808,995,911,364/611,646
  6. Step 6: Final answer
    x = 1,322,653.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.