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Finding the Third Proportional to 688,023 and 1,554,418

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Solution

The third proportional to 688,023 and 1,554,418 is: 3,511,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,023 : 1,554,418 = 1,554,418 : x
  2. Step 2: Convert to fraction form
    688,023/1,554,418 = 1,554,418/x
  3. Step 3: Cross multiply
    688,023x = 1,554,418 × 1,554,418
  4. Step 4: Simplify right side
    688,023x = 2,416,215,318,724
  5. Step 5: Solve for x
    x = 2,416,215,318,724/688,023
  6. Step 6: Final answer
    x = 3,511,823.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.