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Finding the Third Proportional to 338,913 and 705,897

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Solution

The third proportional to 338,913 and 705,897 is: 1,470,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,913 : 705,897 = 705,897 : x
  2. Step 2: Convert to fraction form
    338,913/705,897 = 705,897/x
  3. Step 3: Cross multiply
    338,913x = 705,897 × 705,897
  4. Step 4: Simplify right side
    338,913x = 498,290,574,609
  5. Step 5: Solve for x
    x = 498,290,574,609/338,913
  6. Step 6: Final answer
    x = 1,470,261.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.