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Finding the Third Proportional to 328,803 and 707,502

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Solution

The third proportional to 328,803 and 707,502 is: 1,522,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,803 : 707,502 = 707,502 : x
  2. Step 2: Convert to fraction form
    328,803/707,502 = 707,502/x
  3. Step 3: Cross multiply
    328,803x = 707,502 × 707,502
  4. Step 4: Simplify right side
    328,803x = 500,559,080,004
  5. Step 5: Solve for x
    x = 500,559,080,004/328,803
  6. Step 6: Final answer
    x = 1,522,367.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.