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Finding the Third Proportional to 78,398 and 121,428

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Solution

The third proportional to 78,398 and 121,428 is: 188,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,398 : 121,428 = 121,428 : x
  2. Step 2: Convert to fraction form
    78,398/121,428 = 121,428/x
  3. Step 3: Cross multiply
    78,398x = 121,428 × 121,428
  4. Step 4: Simplify right side
    78,398x = 14,744,759,184
  5. Step 5: Solve for x
    x = 14,744,759,184/78,398
  6. Step 6: Final answer
    x = 188,075.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.