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Finding the Third Proportional to 216,818 and 345,303

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Solution

The third proportional to 216,818 and 345,303 is: 549,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,818 : 345,303 = 345,303 : x
  2. Step 2: Convert to fraction form
    216,818/345,303 = 345,303/x
  3. Step 3: Cross multiply
    216,818x = 345,303 × 345,303
  4. Step 4: Simplify right side
    216,818x = 119,234,161,809
  5. Step 5: Solve for x
    x = 119,234,161,809/216,818
  6. Step 6: Final answer
    x = 549,927.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.