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Finding the Third Proportional to 178,495 and 371,785

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Solution

The third proportional to 178,495 and 371,785 is: 774,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,495 : 371,785 = 371,785 : x
  2. Step 2: Convert to fraction form
    178,495/371,785 = 371,785/x
  3. Step 3: Cross multiply
    178,495x = 371,785 × 371,785
  4. Step 4: Simplify right side
    178,495x = 138,224,086,225
  5. Step 5: Solve for x
    x = 138,224,086,225/178,495
  6. Step 6: Final answer
    x = 774,386.32

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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.