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Finding the Third Proportional to 342,804 and 702,312

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Solution

The third proportional to 342,804 and 702,312 is: 1,438,845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,804 : 702,312 = 702,312 : x
  2. Step 2: Convert to fraction form
    342,804/702,312 = 702,312/x
  3. Step 3: Cross multiply
    342,804x = 702,312 × 702,312
  4. Step 4: Simplify right side
    342,804x = 493,242,145,344
  5. Step 5: Solve for x
    x = 493,242,145,344/342,804
  6. Step 6: Final answer
    x = 1,438,845.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.