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Finding the Third Proportional to 299,335,806 and 640,039,534

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Solution

The third proportional to 299,335,806 and 640,039,534 is: 1,368,531,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,335,806 : 640,039,534 = 640,039,534 : x
  2. Step 2: Convert to fraction form
    299,335,806/640,039,534 = 640,039,534/x
  3. Step 3: Cross multiply
    299,335,806x = 640,039,534 × 640,039,534
  4. Step 4: Simplify right side
    299,335,806x = 409,650,605,082,937,152
  5. Step 5: Solve for x
    x = 409,650,605,082,937,152/299,335,806
  6. Step 6: Final answer
    x = 1,368,531,919.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.