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Finding the Third Proportional to 430,313,668 and 645,911,142

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Solution

The third proportional to 430,313,668 and 645,911,142 is: 969,528,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,313,668 : 645,911,142 = 645,911,142 : x
  2. Step 2: Convert to fraction form
    430,313,668/645,911,142 = 645,911,142/x
  3. Step 3: Cross multiply
    430,313,668x = 645,911,142 × 645,911,142
  4. Step 4: Simplify right side
    430,313,668x = 417,201,203,359,744,192
  5. Step 5: Solve for x
    x = 417,201,203,359,744,192/430,313,668
  6. Step 6: Final answer
    x = 969,528,124.21

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