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Finding the Third Proportional to 140,688 and 308,058.19

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Solution

The third proportional to 140,688 and 308,058.19 is: 674,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,688 : 308,058.19 = 308,058.19 : x
  2. Step 2: Convert to fraction form
    140,688/308,058.19 = 308,058.19/x
  3. Step 3: Cross multiply
    140,688x = 308,058.19 × 308,058.19
  4. Step 4: Simplify right side
    140,688x = 94,899,846,885.79
  5. Step 5: Solve for x
    x = 94,899,846,885.79/140,688
  6. Step 6: Final answer
    x = 674,541.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.