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Finding the Third Proportional to 328,239 and 712,498

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Solution

The third proportional to 328,239 and 712,498 is: 1,546,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,239 : 712,498 = 712,498 : x
  2. Step 2: Convert to fraction form
    328,239/712,498 = 712,498/x
  3. Step 3: Cross multiply
    328,239x = 712,498 × 712,498
  4. Step 4: Simplify right side
    328,239x = 507,653,400,004
  5. Step 5: Solve for x
    x = 507,653,400,004/328,239
  6. Step 6: Final answer
    x = 1,546,596.84

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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.