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Finding the Third Proportional to 328,904 and 719,320

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Solution

The third proportional to 328,904 and 719,320 is: 1,573,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,904 : 719,320 = 719,320 : x
  2. Step 2: Convert to fraction form
    328,904/719,320 = 719,320/x
  3. Step 3: Cross multiply
    328,904x = 719,320 × 719,320
  4. Step 4: Simplify right side
    328,904x = 517,421,262,400
  5. Step 5: Solve for x
    x = 517,421,262,400/328,904
  6. Step 6: Final answer
    x = 1,573,168.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.