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Finding the Third Proportional to 430,659,639 and 668,133,643.50

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Solution

The third proportional to 430,659,639 and 668,133,643.50 is: 1,036,555,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,659,639 : 668,133,643.50 = 668,133,643.50 : x
  2. Step 2: Convert to fraction form
    430,659,639/668,133,643.50 = 668,133,643.50/x
  3. Step 3: Cross multiply
    430,659,639x = 668,133,643.50 × 668,133,643.50
  4. Step 4: Simplify right side
    430,659,639x = 446,402,565,576,585,088
  5. Step 5: Solve for x
    x = 446,402,565,576,585,088/430,659,639
  6. Step 6: Final answer
    x = 1,036,555,379.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.