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Finding the Third Proportional to 78,378 and 119,208

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Solution

The third proportional to 78,378 and 119,208 is: 181,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378 : 119,208 = 119,208 : x
  2. Step 2: Convert to fraction form
    78,378/119,208 = 119,208/x
  3. Step 3: Cross multiply
    78,378x = 119,208 × 119,208
  4. Step 4: Simplify right side
    78,378x = 14,210,547,264
  5. Step 5: Solve for x
    x = 14,210,547,264/78,378
  6. Step 6: Final answer
    x = 181,307.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.