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Finding the Third Proportional to 646,905 and 940,231.50

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Solution

The third proportional to 646,905 and 940,231.50 is: 1,366,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,905 : 940,231.50 = 940,231.50 : x
  2. Step 2: Convert to fraction form
    646,905/940,231.50 = 940,231.50/x
  3. Step 3: Cross multiply
    646,905x = 940,231.50 × 940,231.50
  4. Step 4: Simplify right side
    646,905x = 884,035,273,592.25
  5. Step 5: Solve for x
    x = 884,035,273,592.25/646,905
  6. Step 6: Final answer
    x = 1,366,561.20

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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.