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Finding the Third Proportional to 210,492 and 450,840

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Solution

The third proportional to 210,492 and 450,840 is: 965,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,492 : 450,840 = 450,840 : x
  2. Step 2: Convert to fraction form
    210,492/450,840 = 450,840/x
  3. Step 3: Cross multiply
    210,492x = 450,840 × 450,840
  4. Step 4: Simplify right side
    210,492x = 203,256,705,600
  5. Step 5: Solve for x
    x = 203,256,705,600/210,492
  6. Step 6: Final answer
    x = 965,626.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.