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Finding the Third Proportional to 309,148 and 651,504

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Solution

The third proportional to 309,148 and 651,504 is: 1,372,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,148 : 651,504 = 651,504 : x
  2. Step 2: Convert to fraction form
    309,148/651,504 = 651,504/x
  3. Step 3: Cross multiply
    309,148x = 651,504 × 651,504
  4. Step 4: Simplify right side
    309,148x = 424,457,462,016
  5. Step 5: Solve for x
    x = 424,457,462,016/309,148
  6. Step 6: Final answer
    x = 1,372,991.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.