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Finding the Third Proportional to 371,680 and 561,000

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Solution

The third proportional to 371,680 and 561,000 is: 846,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,680 : 561,000 = 561,000 : x
  2. Step 2: Convert to fraction form
    371,680/561,000 = 561,000/x
  3. Step 3: Cross multiply
    371,680x = 561,000 × 561,000
  4. Step 4: Simplify right side
    371,680x = 314,721,000,000
  5. Step 5: Solve for x
    x = 314,721,000,000/371,680
  6. Step 6: Final answer
    x = 846,752.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.