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Finding the Third Proportional to 518,908,405.50 and 835,613,442

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Solution

The third proportional to 518,908,405.50 and 835,613,442 is: 1,345,612,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,908,405.50 : 835,613,442 = 835,613,442 : x
  2. Step 2: Convert to fraction form
    518,908,405.50/835,613,442 = 835,613,442/x
  3. Step 3: Cross multiply
    518,908,405.50x = 835,613,442 × 835,613,442
  4. Step 4: Simplify right side
    518,908,405.50x = 698,249,824,451,087,360
  5. Step 5: Solve for x
    x = 698,249,824,451,087,360/518,908,405.50
  6. Step 6: Final answer
    x = 1,345,612,861.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.