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Finding the Third Proportional to 317,096,820 and 485,122,410

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Solution

The third proportional to 317,096,820 and 485,122,410 is: 742,182,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,096,820 : 485,122,410 = 485,122,410 : x
  2. Step 2: Convert to fraction form
    317,096,820/485,122,410 = 485,122,410/x
  3. Step 3: Cross multiply
    317,096,820x = 485,122,410 × 485,122,410
  4. Step 4: Simplify right side
    317,096,820x = 235,343,752,684,208,096
  5. Step 5: Solve for x
    x = 235,343,752,684,208,096/317,096,820
  6. Step 6: Final answer
    x = 742,182,632.69

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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.