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Finding the Third Proportional to 310,990,167 and 680,556,942

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Solution

The third proportional to 310,990,167 and 680,556,942 is: 1,489,300,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,990,167 : 680,556,942 = 680,556,942 : x
  2. Step 2: Convert to fraction form
    310,990,167/680,556,942 = 680,556,942/x
  3. Step 3: Cross multiply
    310,990,167x = 680,556,942 × 680,556,942
  4. Step 4: Simplify right side
    310,990,167x = 463,157,751,304,391,360
  5. Step 5: Solve for x
    x = 463,157,751,304,391,360/310,990,167
  6. Step 6: Final answer
    x = 1,489,300,307.38

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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.