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Finding the Third Proportional to 257,043 and 556,989

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Solution

The third proportional to 257,043 and 556,989 is: 1,206,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,043 : 556,989 = 556,989 : x
  2. Step 2: Convert to fraction form
    257,043/556,989 = 556,989/x
  3. Step 3: Cross multiply
    257,043x = 556,989 × 556,989
  4. Step 4: Simplify right side
    257,043x = 310,236,746,121
  5. Step 5: Solve for x
    x = 310,236,746,121/257,043
  6. Step 6: Final answer
    x = 1,206,944.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.