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Finding the Third Proportional to 345,804 and 715,608

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Solution

The third proportional to 345,804 and 715,608 is: 1,480,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,804 : 715,608 = 715,608 : x
  2. Step 2: Convert to fraction form
    345,804/715,608 = 715,608/x
  3. Step 3: Cross multiply
    345,804x = 715,608 × 715,608
  4. Step 4: Simplify right side
    345,804x = 512,094,809,664
  5. Step 5: Solve for x
    x = 512,094,809,664/345,804
  6. Step 6: Final answer
    x = 1,480,881.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.