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Finding the Third Proportional to 602,819 and 842,830

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Solution

The third proportional to 602,819 and 842,830 is: 1,178,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,819 : 842,830 = 842,830 : x
  2. Step 2: Convert to fraction form
    602,819/842,830 = 842,830/x
  3. Step 3: Cross multiply
    602,819x = 842,830 × 842,830
  4. Step 4: Simplify right side
    602,819x = 710,362,408,900
  5. Step 5: Solve for x
    x = 710,362,408,900/602,819
  6. Step 6: Final answer
    x = 1,178,400.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.