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Finding the Third Proportional to 690,319.13 and 969,048.56

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Solution

The third proportional to 690,319.13 and 969,048.56 is: 1,360,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,319.13 : 969,048.56 = 969,048.56 : x
  2. Step 2: Convert to fraction form
    690,319.13/969,048.56 = 969,048.56/x
  3. Step 3: Cross multiply
    690,319.13x = 969,048.56 × 969,048.56
  4. Step 4: Simplify right side
    690,319.13x = 939,055,116,483.32
  5. Step 5: Solve for x
    x = 939,055,116,483.32/690,319.13
  6. Step 6: Final answer
    x = 1,360,320.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.