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Finding the Third Proportional to 248,376 and 393,465

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Solution

The third proportional to 248,376 and 393,465 is: 623,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,376 : 393,465 = 393,465 : x
  2. Step 2: Convert to fraction form
    248,376/393,465 = 393,465/x
  3. Step 3: Cross multiply
    248,376x = 393,465 × 393,465
  4. Step 4: Simplify right side
    248,376x = 154,814,706,225
  5. Step 5: Solve for x
    x = 154,814,706,225/248,376
  6. Step 6: Final answer
    x = 623,307.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.