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Finding the Third Proportional to 688,648.50 and 1,489,492.13

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Solution

The third proportional to 688,648.50 and 1,489,492.13 is: 3,221,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,648.50 : 1,489,492.13 = 1,489,492.13 : x
  2. Step 2: Convert to fraction form
    688,648.50/1,489,492.13 = 1,489,492.13/x
  3. Step 3: Cross multiply
    688,648.50x = 1,489,492.13 × 1,489,492.13
  4. Step 4: Simplify right side
    688,648.50x = 2,218,586,790,437.02
  5. Step 5: Solve for x
    x = 2,218,586,790,437.02/688,648.50
  6. Step 6: Final answer
    x = 3,221,653.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.