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Finding the Third Proportional to 216,820 and 345,306

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Solution

The third proportional to 216,820 and 345,306 is: 549,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,820 : 345,306 = 345,306 : x
  2. Step 2: Convert to fraction form
    216,820/345,306 = 345,306/x
  3. Step 3: Cross multiply
    216,820x = 345,306 × 345,306
  4. Step 4: Simplify right side
    216,820x = 119,236,233,636
  5. Step 5: Solve for x
    x = 119,236,233,636/216,820
  6. Step 6: Final answer
    x = 549,931.90

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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.