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Finding the Third Proportional to 257,574.75 and 378,643.88

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Solution

The third proportional to 257,574.75 and 378,643.88 is: 556,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,574.75 : 378,643.88 = 378,643.88 : x
  2. Step 2: Convert to fraction form
    257,574.75/378,643.88 = 378,643.88/x
  3. Step 3: Cross multiply
    257,574.75x = 378,643.88 × 378,643.88
  4. Step 4: Simplify right side
    257,574.75x = 143,371,184,075.02
  5. Step 5: Solve for x
    x = 143,371,184,075.02/257,574.75
  6. Step 6: Final answer
    x = 556,619.72

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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.