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Finding the Third Proportional to 616,104 and 915,120

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Solution

The third proportional to 616,104 and 915,120 is: 1,359,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,104 : 915,120 = 915,120 : x
  2. Step 2: Convert to fraction form
    616,104/915,120 = 915,120/x
  3. Step 3: Cross multiply
    616,104x = 915,120 × 915,120
  4. Step 4: Simplify right side
    616,104x = 837,444,614,400
  5. Step 5: Solve for x
    x = 837,444,614,400/616,104
  6. Step 6: Final answer
    x = 1,359,258.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.