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Finding the Third Proportional to 329,955 and 719,148

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Solution

The third proportional to 329,955 and 719,148 is: 1,567,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,955 : 719,148 = 719,148 : x
  2. Step 2: Convert to fraction form
    329,955/719,148 = 719,148/x
  3. Step 3: Cross multiply
    329,955x = 719,148 × 719,148
  4. Step 4: Simplify right side
    329,955x = 517,173,845,904
  5. Step 5: Solve for x
    x = 517,173,845,904/329,955
  6. Step 6: Final answer
    x = 1,567,407.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.