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Finding the Third Proportional to 286,172 and 565,140

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Solution

The third proportional to 286,172 and 565,140 is: 1,116,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,172 : 565,140 = 565,140 : x
  2. Step 2: Convert to fraction form
    286,172/565,140 = 565,140/x
  3. Step 3: Cross multiply
    286,172x = 565,140 × 565,140
  4. Step 4: Simplify right side
    286,172x = 319,383,219,600
  5. Step 5: Solve for x
    x = 319,383,219,600/286,172
  6. Step 6: Final answer
    x = 1,116,053.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.