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Finding the Third Proportional to 121,428 and 190,078

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Solution

The third proportional to 121,428 and 190,078 is: 297,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,428 : 190,078 = 190,078 : x
  2. Step 2: Convert to fraction form
    121,428/190,078 = 190,078/x
  3. Step 3: Cross multiply
    121,428x = 190,078 × 190,078
  4. Step 4: Simplify right side
    121,428x = 36,129,646,084
  5. Step 5: Solve for x
    x = 36,129,646,084/121,428
  6. Step 6: Final answer
    x = 297,539.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.