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Finding the Third Proportional to 328,534 and 706,146

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Solution

The third proportional to 328,534 and 706,146 is: 1,517,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,534 : 706,146 = 706,146 : x
  2. Step 2: Convert to fraction form
    328,534/706,146 = 706,146/x
  3. Step 3: Cross multiply
    328,534x = 706,146 × 706,146
  4. Step 4: Simplify right side
    328,534x = 498,642,173,316
  5. Step 5: Solve for x
    x = 498,642,173,316/328,534
  6. Step 6: Final answer
    x = 1,517,779.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.