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Finding the Third Proportional to 315,422,874 and 690,307,726

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Solution

The third proportional to 315,422,874 and 690,307,726 is: 1,510,748,889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,422,874 : 690,307,726 = 690,307,726 : x
  2. Step 2: Convert to fraction form
    315,422,874/690,307,726 = 690,307,726/x
  3. Step 3: Cross multiply
    315,422,874x = 690,307,726 × 690,307,726
  4. Step 4: Simplify right side
    315,422,874x = 476,524,756,575,291,072
  5. Step 5: Solve for x
    x = 476,524,756,575,291,072/315,422,874
  6. Step 6: Final answer
    x = 1,510,748,889.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.