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Finding the Third Proportional to 328,425.75 and 710,829

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Solution

The third proportional to 328,425.75 and 710,829 is: 1,538,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,425.75 : 710,829 = 710,829 : x
  2. Step 2: Convert to fraction form
    328,425.75/710,829 = 710,829/x
  3. Step 3: Cross multiply
    328,425.75x = 710,829 × 710,829
  4. Step 4: Simplify right side
    328,425.75x = 505,277,867,241
  5. Step 5: Solve for x
    x = 505,277,867,241/328,425.75
  6. Step 6: Final answer
    x = 1,538,484.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.