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Finding the Third Proportional to 170,312 and 257,824

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Solution

The third proportional to 170,312 and 257,824 is: 390,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,312 : 257,824 = 257,824 : x
  2. Step 2: Convert to fraction form
    170,312/257,824 = 257,824/x
  3. Step 3: Cross multiply
    170,312x = 257,824 × 257,824
  4. Step 4: Simplify right side
    170,312x = 66,473,214,976
  5. Step 5: Solve for x
    x = 66,473,214,976/170,312
  6. Step 6: Final answer
    x = 390,302.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.