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Finding the Third Proportional to 328,420 and 710,818

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Solution

The third proportional to 328,420 and 710,818 is: 1,538,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,420 : 710,818 = 710,818 : x
  2. Step 2: Convert to fraction form
    328,420/710,818 = 710,818/x
  3. Step 3: Cross multiply
    328,420x = 710,818 × 710,818
  4. Step 4: Simplify right side
    328,420x = 505,262,229,124
  5. Step 5: Solve for x
    x = 505,262,229,124/328,420
  6. Step 6: Final answer
    x = 1,538,463.64

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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.