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Finding the Third Proportional to 784,396 and 1,104,590

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Solution

The third proportional to 784,396 and 1,104,590 is: 1,555,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,396 : 1,104,590 = 1,104,590 : x
  2. Step 2: Convert to fraction form
    784,396/1,104,590 = 1,104,590/x
  3. Step 3: Cross multiply
    784,396x = 1,104,590 × 1,104,590
  4. Step 4: Simplify right side
    784,396x = 1,220,119,068,100
  5. Step 5: Solve for x
    x = 1,220,119,068,100/784,396
  6. Step 6: Final answer
    x = 1,555,488.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.