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Finding the Third Proportional to 562,246.50 and 801,312

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Solution

The third proportional to 562,246.50 and 801,312 is: 1,142,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,246.50 : 801,312 = 801,312 : x
  2. Step 2: Convert to fraction form
    562,246.50/801,312 = 801,312/x
  3. Step 3: Cross multiply
    562,246.50x = 801,312 × 801,312
  4. Step 4: Simplify right side
    562,246.50x = 642,100,921,344
  5. Step 5: Solve for x
    x = 642,100,921,344/562,246.50
  6. Step 6: Final answer
    x = 1,142,027.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.