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Finding the Third Proportional to 213,072 and 473,440

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Solution

The third proportional to 213,072 and 473,440 is: 1,051,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,072 : 473,440 = 473,440 : x
  2. Step 2: Convert to fraction form
    213,072/473,440 = 473,440/x
  3. Step 3: Cross multiply
    213,072x = 473,440 × 473,440
  4. Step 4: Simplify right side
    213,072x = 224,145,433,600
  5. Step 5: Solve for x
    x = 224,145,433,600/213,072
  6. Step 6: Final answer
    x = 1,051,970.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.