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Finding the Third Proportional to 212,064 and 310,968

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Solution

The third proportional to 212,064 and 310,968 is: 455,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,064 : 310,968 = 310,968 : x
  2. Step 2: Convert to fraction form
    212,064/310,968 = 310,968/x
  3. Step 3: Cross multiply
    212,064x = 310,968 × 310,968
  4. Step 4: Simplify right side
    212,064x = 96,701,097,024
  5. Step 5: Solve for x
    x = 96,701,097,024/212,064
  6. Step 6: Final answer
    x = 455,999.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.