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Finding the Third Proportional to 309,699 and 452,594.25

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Solution

The third proportional to 309,699 and 452,594.25 is: 661,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,699 : 452,594.25 = 452,594.25 : x
  2. Step 2: Convert to fraction form
    309,699/452,594.25 = 452,594.25/x
  3. Step 3: Cross multiply
    309,699x = 452,594.25 × 452,594.25
  4. Step 4: Simplify right side
    309,699x = 204,841,555,133.06
  5. Step 5: Solve for x
    x = 204,841,555,133.06/309,699
  6. Step 6: Final answer
    x = 661,421.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.