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Finding the Third Proportional to 509,976 and 690,076.13

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Solution

The third proportional to 509,976 and 690,076.13 is: 933,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,976 : 690,076.13 = 690,076.13 : x
  2. Step 2: Convert to fraction form
    509,976/690,076.13 = 690,076.13/x
  3. Step 3: Cross multiply
    509,976x = 690,076.13 × 690,076.13
  4. Step 4: Simplify right side
    509,976x = 476,205,058,295.02
  5. Step 5: Solve for x
    x = 476,205,058,295.02/509,976
  6. Step 6: Final answer
    x = 933,779.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.