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Finding the Third Proportional to 364,339 and 509,484

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Solution

The third proportional to 364,339 and 509,484 is: 712,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,339 : 509,484 = 509,484 : x
  2. Step 2: Convert to fraction form
    364,339/509,484 = 509,484/x
  3. Step 3: Cross multiply
    364,339x = 509,484 × 509,484
  4. Step 4: Simplify right side
    364,339x = 259,573,946,256
  5. Step 5: Solve for x
    x = 259,573,946,256/364,339
  6. Step 6: Final answer
    x = 712,451.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.