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Finding the Third Proportional to 453,492 and 669,856.50

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Solution

The third proportional to 453,492 and 669,856.50 is: 989,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,492 : 669,856.50 = 669,856.50 : x
  2. Step 2: Convert to fraction form
    453,492/669,856.50 = 669,856.50/x
  3. Step 3: Cross multiply
    453,492x = 669,856.50 × 669,856.50
  4. Step 4: Simplify right side
    453,492x = 448,707,730,592.25
  5. Step 5: Solve for x
    x = 448,707,730,592.25/453,492
  6. Step 6: Final answer
    x = 989,450.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.