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Finding the Third Proportional to 374,572 and 819,212

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Solution

The third proportional to 374,572 and 819,212 is: 1,791,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,572 : 819,212 = 819,212 : x
  2. Step 2: Convert to fraction form
    374,572/819,212 = 819,212/x
  3. Step 3: Cross multiply
    374,572x = 819,212 × 819,212
  4. Step 4: Simplify right side
    374,572x = 671,108,300,944
  5. Step 5: Solve for x
    x = 671,108,300,944/374,572
  6. Step 6: Final answer
    x = 1,791,667.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.