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Finding the Third Proportional to 315,211.50 and 700,407

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Solution

The third proportional to 315,211.50 and 700,407 is: 1,556,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,211.50 : 700,407 = 700,407 : x
  2. Step 2: Convert to fraction form
    315,211.50/700,407 = 700,407/x
  3. Step 3: Cross multiply
    315,211.50x = 700,407 × 700,407
  4. Step 4: Simplify right side
    315,211.50x = 490,569,965,649
  5. Step 5: Solve for x
    x = 490,569,965,649/315,211.50
  6. Step 6: Final answer
    x = 1,556,320.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.