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Finding the Third Proportional to 784,890 and 1,689,579

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Solution

The third proportional to 784,890 and 1,689,579 is: 3,637,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,890 : 1,689,579 = 1,689,579 : x
  2. Step 2: Convert to fraction form
    784,890/1,689,579 = 1,689,579/x
  3. Step 3: Cross multiply
    784,890x = 1,689,579 × 1,689,579
  4. Step 4: Simplify right side
    784,890x = 2,854,677,197,241
  5. Step 5: Solve for x
    x = 2,854,677,197,241/784,890
  6. Step 6: Final answer
    x = 3,637,041.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.