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Finding the Third Proportional to 317,095,617 and 485,120,788.88

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Solution

The third proportional to 317,095,617 and 485,120,788.88 is: 742,180,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,095,617 : 485,120,788.88 = 485,120,788.88 : x
  2. Step 2: Convert to fraction form
    317,095,617/485,120,788.88 = 485,120,788.88/x
  3. Step 3: Cross multiply
    317,095,617x = 485,120,788.88 × 485,120,788.88
  4. Step 4: Simplify right side
    317,095,617x = 235,342,179,798,702,336
  5. Step 5: Solve for x
    x = 235,342,179,798,702,336/317,095,617
  6. Step 6: Final answer
    x = 742,180,488.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.