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Finding the Third Proportional to 662,212 and 1,430,270

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Solution

The third proportional to 662,212 and 1,430,270 is: 3,089,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,212 : 1,430,270 = 1,430,270 : x
  2. Step 2: Convert to fraction form
    662,212/1,430,270 = 1,430,270/x
  3. Step 3: Cross multiply
    662,212x = 1,430,270 × 1,430,270
  4. Step 4: Simplify right side
    662,212x = 2,045,672,272,900
  5. Step 5: Solve for x
    x = 2,045,672,272,900/662,212
  6. Step 6: Final answer
    x = 3,089,150.11

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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.