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Finding the Third Proportional to 782,184 and 1,209,186.50

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Solution

The third proportional to 782,184 and 1,209,186.50 is: 1,869,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,184 : 1,209,186.50 = 1,209,186.50 : x
  2. Step 2: Convert to fraction form
    782,184/1,209,186.50 = 1,209,186.50/x
  3. Step 3: Cross multiply
    782,184x = 1,209,186.50 × 1,209,186.50
  4. Step 4: Simplify right side
    782,184x = 1,462,131,991,782.25
  5. Step 5: Solve for x
    x = 1,462,131,991,782.25/782,184
  6. Step 6: Final answer
    x = 1,869,294.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.