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Finding the Third Proportional to 217,312 and 345,768

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Solution

The third proportional to 217,312 and 345,768 is: 550,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,312 : 345,768 = 345,768 : x
  2. Step 2: Convert to fraction form
    217,312/345,768 = 345,768/x
  3. Step 3: Cross multiply
    217,312x = 345,768 × 345,768
  4. Step 4: Simplify right side
    217,312x = 119,555,509,824
  5. Step 5: Solve for x
    x = 119,555,509,824/217,312
  6. Step 6: Final answer
    x = 550,156.04

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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.