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Finding the Third Proportional to 1,221,645 and 1,864,057.50

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Solution

The third proportional to 1,221,645 and 1,864,057.50 is: 2,844,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,645 : 1,864,057.50 = 1,864,057.50 : x
  2. Step 2: Convert to fraction form
    1,221,645/1,864,057.50 = 1,864,057.50/x
  3. Step 3: Cross multiply
    1,221,645x = 1,864,057.50 × 1,864,057.50
  4. Step 4: Simplify right side
    1,221,645x = 3,474,710,363,306.25
  5. Step 5: Solve for x
    x = 3,474,710,363,306.25/1,221,645
  6. Step 6: Final answer
    x = 2,844,288.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.