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Finding the Third Proportional to 554,656 and 856,438

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Solution

The third proportional to 554,656 and 856,438 is: 1,322,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,656 : 856,438 = 856,438 : x
  2. Step 2: Convert to fraction form
    554,656/856,438 = 856,438/x
  3. Step 3: Cross multiply
    554,656x = 856,438 × 856,438
  4. Step 4: Simplify right side
    554,656x = 733,486,047,844
  5. Step 5: Solve for x
    x = 733,486,047,844/554,656
  6. Step 6: Final answer
    x = 1,322,416.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.