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Finding the Third Proportional to 242,100 and 517,140

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Solution

The third proportional to 242,100 and 517,140 is: 1,104,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,100 : 517,140 = 517,140 : x
  2. Step 2: Convert to fraction form
    242,100/517,140 = 517,140/x
  3. Step 3: Cross multiply
    242,100x = 517,140 × 517,140
  4. Step 4: Simplify right side
    242,100x = 267,433,779,600
  5. Step 5: Solve for x
    x = 267,433,779,600/242,100
  6. Step 6: Final answer
    x = 1,104,641.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.