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Finding the Third Proportional to 306,301.50 and 545,899.50

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Solution

The third proportional to 306,301.50 and 545,899.50 is: 972,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,301.50 : 545,899.50 = 545,899.50 : x
  2. Step 2: Convert to fraction form
    306,301.50/545,899.50 = 545,899.50/x
  3. Step 3: Cross multiply
    306,301.50x = 545,899.50 × 545,899.50
  4. Step 4: Simplify right side
    306,301.50x = 298,006,264,100.25
  5. Step 5: Solve for x
    x = 298,006,264,100.25/306,301.50
  6. Step 6: Final answer
    x = 972,918.07

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.