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Finding the Third Proportional to 336,072 and 727,312

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Solution

The third proportional to 336,072 and 727,312 is: 1,574,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,072 : 727,312 = 727,312 : x
  2. Step 2: Convert to fraction form
    336,072/727,312 = 727,312/x
  3. Step 3: Cross multiply
    336,072x = 727,312 × 727,312
  4. Step 4: Simplify right side
    336,072x = 528,982,745,344
  5. Step 5: Solve for x
    x = 528,982,745,344/336,072
  6. Step 6: Final answer
    x = 1,574,016.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.