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Finding the Third Proportional to 615,696 and 890,904

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Solution

The third proportional to 615,696 and 890,904 is: 1,289,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,696 : 890,904 = 890,904 : x
  2. Step 2: Convert to fraction form
    615,696/890,904 = 890,904/x
  3. Step 3: Cross multiply
    615,696x = 890,904 × 890,904
  4. Step 4: Simplify right side
    615,696x = 793,709,937,216
  5. Step 5: Solve for x
    x = 793,709,937,216/615,696
  6. Step 6: Final answer
    x = 1,289,126.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.