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Finding the Third Proportional to 676,668 and 1,409,312

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Solution

The third proportional to 676,668 and 1,409,312 is: 2,935,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,668 : 1,409,312 = 1,409,312 : x
  2. Step 2: Convert to fraction form
    676,668/1,409,312 = 1,409,312/x
  3. Step 3: Cross multiply
    676,668x = 1,409,312 × 1,409,312
  4. Step 4: Simplify right side
    676,668x = 1,986,160,313,344
  5. Step 5: Solve for x
    x = 1,986,160,313,344/676,668
  6. Step 6: Final answer
    x = 2,935,206.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.