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Finding the Third Proportional to 709,981 and 1,528,219

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Solution

The third proportional to 709,981 and 1,528,219 is: 3,289,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,981 : 1,528,219 = 1,528,219 : x
  2. Step 2: Convert to fraction form
    709,981/1,528,219 = 1,528,219/x
  3. Step 3: Cross multiply
    709,981x = 1,528,219 × 1,528,219
  4. Step 4: Simplify right side
    709,981x = 2,335,453,311,961
  5. Step 5: Solve for x
    x = 2,335,453,311,961/709,981
  6. Step 6: Final answer
    x = 3,289,458.89

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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.