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Finding the Third Proportional to 430,313,670 and 645,911,145

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Solution

The third proportional to 430,313,670 and 645,911,145 is: 969,528,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,313,670 : 645,911,145 = 645,911,145 : x
  2. Step 2: Convert to fraction form
    430,313,670/645,911,145 = 645,911,145/x
  3. Step 3: Cross multiply
    430,313,670x = 645,911,145 × 645,911,145
  4. Step 4: Simplify right side
    430,313,670x = 417,201,207,235,211,008
  5. Step 5: Solve for x
    x = 417,201,207,235,211,008/430,313,670
  6. Step 6: Final answer
    x = 969,528,128.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.