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Finding the Third Proportional to 353,070 and 540,201

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Solution

The third proportional to 353,070 and 540,201 is: 826,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,070 : 540,201 = 540,201 : x
  2. Step 2: Convert to fraction form
    353,070/540,201 = 540,201/x
  3. Step 3: Cross multiply
    353,070x = 540,201 × 540,201
  4. Step 4: Simplify right side
    353,070x = 291,817,120,401
  5. Step 5: Solve for x
    x = 291,817,120,401/353,070
  6. Step 6: Final answer
    x = 826,513.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.