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Finding the Third Proportional to 633,160 and 905,360

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Solution

The third proportional to 633,160 and 905,360 is: 1,294,580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,160 : 905,360 = 905,360 : x
  2. Step 2: Convert to fraction form
    633,160/905,360 = 905,360/x
  3. Step 3: Cross multiply
    633,160x = 905,360 × 905,360
  4. Step 4: Simplify right side
    633,160x = 819,676,729,600
  5. Step 5: Solve for x
    x = 819,676,729,600/633,160
  6. Step 6: Final answer
    x = 1,294,580.72

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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.