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Finding the Third Proportional to 121,116 and 293,070

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Solution

The third proportional to 121,116 and 293,070 is: 709,155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,116 : 293,070 = 293,070 : x
  2. Step 2: Convert to fraction form
    121,116/293,070 = 293,070/x
  3. Step 3: Cross multiply
    121,116x = 293,070 × 293,070
  4. Step 4: Simplify right side
    121,116x = 85,890,024,900
  5. Step 5: Solve for x
    x = 85,890,024,900/121,116
  6. Step 6: Final answer
    x = 709,155.07

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.