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Finding the Third Proportional to 141,889.50 and 310,423.50

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Solution

The third proportional to 141,889.50 and 310,423.50 is: 679,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,889.50 : 310,423.50 = 310,423.50 : x
  2. Step 2: Convert to fraction form
    141,889.50/310,423.50 = 310,423.50/x
  3. Step 3: Cross multiply
    141,889.50x = 310,423.50 × 310,423.50
  4. Step 4: Simplify right side
    141,889.50x = 96,362,749,352.25
  5. Step 5: Solve for x
    x = 96,362,749,352.25/141,889.50
  6. Step 6: Final answer
    x = 679,139.40

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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.