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Finding the Third Proportional to 178,370 and 371,428

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Solution

The third proportional to 178,370 and 371,428 is: 773,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,370 : 371,428 = 371,428 : x
  2. Step 2: Convert to fraction form
    178,370/371,428 = 371,428/x
  3. Step 3: Cross multiply
    178,370x = 371,428 × 371,428
  4. Step 4: Simplify right side
    178,370x = 137,958,759,184
  5. Step 5: Solve for x
    x = 137,958,759,184/178,370
  6. Step 6: Final answer
    x = 773,441.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.