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Finding the Third Proportional to 511,526 and 802,470

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Solution

The third proportional to 511,526 and 802,470 is: 1,258,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,526 : 802,470 = 802,470 : x
  2. Step 2: Convert to fraction form
    511,526/802,470 = 802,470/x
  3. Step 3: Cross multiply
    511,526x = 802,470 × 802,470
  4. Step 4: Simplify right side
    511,526x = 643,958,100,900
  5. Step 5: Solve for x
    x = 643,958,100,900/511,526
  6. Step 6: Final answer
    x = 1,258,896.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.