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Finding the Third Proportional to 286,140 and 609,240

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Solution

The third proportional to 286,140 and 609,240 is: 1,297,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,140 : 609,240 = 609,240 : x
  2. Step 2: Convert to fraction form
    286,140/609,240 = 609,240/x
  3. Step 3: Cross multiply
    286,140x = 609,240 × 609,240
  4. Step 4: Simplify right side
    286,140x = 371,173,377,600
  5. Step 5: Solve for x
    x = 371,173,377,600/286,140
  6. Step 6: Final answer
    x = 1,297,174.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.