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Finding the Third Proportional to 305,300 and 651,166

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Solution

The third proportional to 305,300 and 651,166 is: 1,388,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,300 : 651,166 = 651,166 : x
  2. Step 2: Convert to fraction form
    305,300/651,166 = 651,166/x
  3. Step 3: Cross multiply
    305,300x = 651,166 × 651,166
  4. Step 4: Simplify right side
    305,300x = 424,017,159,556
  5. Step 5: Solve for x
    x = 424,017,159,556/305,300
  6. Step 6: Final answer
    x = 1,388,854.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.