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Finding the Third Proportional to 240,430 and 353,841

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Solution

The third proportional to 240,430 and 353,841 is: 520,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,430 : 353,841 = 353,841 : x
  2. Step 2: Convert to fraction form
    240,430/353,841 = 353,841/x
  3. Step 3: Cross multiply
    240,430x = 353,841 × 353,841
  4. Step 4: Simplify right side
    240,430x = 125,203,453,281
  5. Step 5: Solve for x
    x = 125,203,453,281/240,430
  6. Step 6: Final answer
    x = 520,748.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.