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Finding the Third Proportional to 149,588 and 320,488

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Solution

The third proportional to 149,588 and 320,488 is: 686,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,588 : 320,488 = 320,488 : x
  2. Step 2: Convert to fraction form
    149,588/320,488 = 320,488/x
  3. Step 3: Cross multiply
    149,588x = 320,488 × 320,488
  4. Step 4: Simplify right side
    149,588x = 102,712,558,144
  5. Step 5: Solve for x
    x = 102,712,558,144/149,588
  6. Step 6: Final answer
    x = 686,636.35

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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.