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Finding the Third Proportional to 318,030.47 and 491,809.22

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Solution

The third proportional to 318,030.47 and 491,809.22 is: 760,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,030.47 : 491,809.22 = 491,809.22 : x
  2. Step 2: Convert to fraction form
    318,030.47/491,809.22 = 491,809.22/x
  3. Step 3: Cross multiply
    318,030.47x = 491,809.22 × 491,809.22
  4. Step 4: Simplify right side
    318,030.47x = 241,876,307,647.49
  5. Step 5: Solve for x
    x = 241,876,307,647.49/318,030.47
  6. Step 6: Final answer
    x = 760,544.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.