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Finding the Third Proportional to 285,840 and 392,310

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Solution

The third proportional to 285,840 and 392,310 is: 538,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,840 : 392,310 = 392,310 : x
  2. Step 2: Convert to fraction form
    285,840/392,310 = 392,310/x
  3. Step 3: Cross multiply
    285,840x = 392,310 × 392,310
  4. Step 4: Simplify right side
    285,840x = 153,907,136,100
  5. Step 5: Solve for x
    x = 153,907,136,100/285,840
  6. Step 6: Final answer
    x = 538,438.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.