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Finding the Third Proportional to 145,616.50 and 311,479.50

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Solution

The third proportional to 145,616.50 and 311,479.50 is: 666,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,616.50 : 311,479.50 = 311,479.50 : x
  2. Step 2: Convert to fraction form
    145,616.50/311,479.50 = 311,479.50/x
  3. Step 3: Cross multiply
    145,616.50x = 311,479.50 × 311,479.50
  4. Step 4: Simplify right side
    145,616.50x = 97,019,478,920.25
  5. Step 5: Solve for x
    x = 97,019,478,920.25/145,616.50
  6. Step 6: Final answer
    x = 666,267.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.