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Finding the Third Proportional to 317,405,142 and 687,777,966

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Solution

The third proportional to 317,405,142 and 687,777,966 is: 1,490,330,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,405,142 : 687,777,966 = 687,777,966 : x
  2. Step 2: Convert to fraction form
    317,405,142/687,777,966 = 687,777,966/x
  3. Step 3: Cross multiply
    317,405,142x = 687,777,966 × 687,777,966
  4. Step 4: Simplify right side
    317,405,142x = 473,038,530,515,097,152
  5. Step 5: Solve for x
    x = 473,038,530,515,097,152/317,405,142
  6. Step 6: Final answer
    x = 1,490,330,394.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.