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Finding the Third Proportional to 389,740 and 570,786

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Solution

The third proportional to 389,740 and 570,786 is: 835,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,740 : 570,786 = 570,786 : x
  2. Step 2: Convert to fraction form
    389,740/570,786 = 570,786/x
  3. Step 3: Cross multiply
    389,740x = 570,786 × 570,786
  4. Step 4: Simplify right side
    389,740x = 325,796,657,796
  5. Step 5: Solve for x
    x = 325,796,657,796/389,740
  6. Step 6: Final answer
    x = 835,933.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.