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Finding the Third Proportional to 834,476 and 1,192,178.50

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Solution

The third proportional to 834,476 and 1,192,178.50 is: 1,703,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,476 : 1,192,178.50 = 1,192,178.50 : x
  2. Step 2: Convert to fraction form
    834,476/1,192,178.50 = 1,192,178.50/x
  3. Step 3: Cross multiply
    834,476x = 1,192,178.50 × 1,192,178.50
  4. Step 4: Simplify right side
    834,476x = 1,421,289,575,862.25
  5. Step 5: Solve for x
    x = 1,421,289,575,862.25/834,476
  6. Step 6: Final answer
    x = 1,703,212.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.