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Finding the Third Proportional to 255,076 and 556,078

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Solution

The third proportional to 255,076 and 556,078 is: 1,212,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,076 : 556,078 = 556,078 : x
  2. Step 2: Convert to fraction form
    255,076/556,078 = 556,078/x
  3. Step 3: Cross multiply
    255,076x = 556,078 × 556,078
  4. Step 4: Simplify right side
    255,076x = 309,222,742,084
  5. Step 5: Solve for x
    x = 309,222,742,084/255,076
  6. Step 6: Final answer
    x = 1,212,276.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.