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Finding the Third Proportional to 380,640,643 and 605,674,078

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Solution

The third proportional to 380,640,643 and 605,674,078 is: 963,746,503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,640,643 : 605,674,078 = 605,674,078 : x
  2. Step 2: Convert to fraction form
    380,640,643/605,674,078 = 605,674,078/x
  3. Step 3: Cross multiply
    380,640,643x = 605,674,078 × 605,674,078
  4. Step 4: Simplify right side
    380,640,643x = 366,841,088,761,150,080
  5. Step 5: Solve for x
    x = 366,841,088,761,150,080/380,640,643
  6. Step 6: Final answer
    x = 963,746,503.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.