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Finding the Third Proportional to 320,070 and 697,740

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Solution

The third proportional to 320,070 and 697,740 is: 1,521,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,070 : 697,740 = 697,740 : x
  2. Step 2: Convert to fraction form
    320,070/697,740 = 697,740/x
  3. Step 3: Cross multiply
    320,070x = 697,740 × 697,740
  4. Step 4: Simplify right side
    320,070x = 486,841,107,600
  5. Step 5: Solve for x
    x = 486,841,107,600/320,070
  6. Step 6: Final answer
    x = 1,521,045.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.