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Finding the Third Proportional to 216,151.88 and 345,308.06

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Solution

The third proportional to 216,151.88 and 345,308.06 is: 551,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,151.88 : 345,308.06 = 345,308.06 : x
  2. Step 2: Convert to fraction form
    216,151.88/345,308.06 = 345,308.06/x
  3. Step 3: Cross multiply
    216,151.88x = 345,308.06 × 345,308.06
  4. Step 4: Simplify right side
    216,151.88x = 119,237,658,027.50
  5. Step 5: Solve for x
    x = 119,237,658,027.50/216,151.88
  6. Step 6: Final answer
    x = 551,638.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.