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Finding the Third Proportional to 328,008 and 710,421

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Solution

The third proportional to 328,008 and 710,421 is: 1,538,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,008 : 710,421 = 710,421 : x
  2. Step 2: Convert to fraction form
    328,008/710,421 = 710,421/x
  3. Step 3: Cross multiply
    328,008x = 710,421 × 710,421
  4. Step 4: Simplify right side
    328,008x = 504,697,997,241
  5. Step 5: Solve for x
    x = 504,697,997,241/328,008
  6. Step 6: Final answer
    x = 1,538,675.88

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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.