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Finding the Third Proportional to 309,142 and 651,495

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Solution

The third proportional to 309,142 and 651,495 is: 1,372,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,142 : 651,495 = 651,495 : x
  2. Step 2: Convert to fraction form
    309,142/651,495 = 651,495/x
  3. Step 3: Cross multiply
    309,142x = 651,495 × 651,495
  4. Step 4: Simplify right side
    309,142x = 424,445,735,025
  5. Step 5: Solve for x
    x = 424,445,735,025/309,142
  6. Step 6: Final answer
    x = 1,372,979.84

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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.