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Finding the Third Proportional to 542,820 and 830,358

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Solution

The third proportional to 542,820 and 830,358 is: 1,270,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,820 : 830,358 = 830,358 : x
  2. Step 2: Convert to fraction form
    542,820/830,358 = 830,358/x
  3. Step 3: Cross multiply
    542,820x = 830,358 × 830,358
  4. Step 4: Simplify right side
    542,820x = 689,494,408,164
  5. Step 5: Solve for x
    x = 689,494,408,164/542,820
  6. Step 6: Final answer
    x = 1,270,208.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.