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Finding the Third Proportional to 285,464 and 384,516

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Solution

The third proportional to 285,464 and 384,516 is: 517,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,464 : 384,516 = 384,516 : x
  2. Step 2: Convert to fraction form
    285,464/384,516 = 384,516/x
  3. Step 3: Cross multiply
    285,464x = 384,516 × 384,516
  4. Step 4: Simplify right side
    285,464x = 147,852,554,256
  5. Step 5: Solve for x
    x = 147,852,554,256/285,464
  6. Step 6: Final answer
    x = 517,937.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.