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Finding the Third Proportional to 328,106 and 713,128

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Solution

The third proportional to 328,106 and 713,128 is: 1,549,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,106 : 713,128 = 713,128 : x
  2. Step 2: Convert to fraction form
    328,106/713,128 = 713,128/x
  3. Step 3: Cross multiply
    328,106x = 713,128 × 713,128
  4. Step 4: Simplify right side
    328,106x = 508,551,544,384
  5. Step 5: Solve for x
    x = 508,551,544,384/328,106
  6. Step 6: Final answer
    x = 1,549,961.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.