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Finding the Third Proportional to 118,368 and 258,570

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Solution

The third proportional to 118,368 and 258,570 is: 564,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,368 : 258,570 = 258,570 : x
  2. Step 2: Convert to fraction form
    118,368/258,570 = 258,570/x
  3. Step 3: Cross multiply
    118,368x = 258,570 × 258,570
  4. Step 4: Simplify right side
    118,368x = 66,858,444,900
  5. Step 5: Solve for x
    x = 66,858,444,900/118,368
  6. Step 6: Final answer
    x = 564,835.47

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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.