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Finding the Third Proportional to 285,844 and 392,312

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Solution

The third proportional to 285,844 and 392,312 is: 538,436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,844 : 392,312 = 392,312 : x
  2. Step 2: Convert to fraction form
    285,844/392,312 = 392,312/x
  3. Step 3: Cross multiply
    285,844x = 392,312 × 392,312
  4. Step 4: Simplify right side
    285,844x = 153,908,705,344
  5. Step 5: Solve for x
    x = 153,908,705,344/285,844
  6. Step 6: Final answer
    x = 538,436.02

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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.