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Finding the Third Proportional to 645,989,427 and 1,002,200,422.50

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Solution

The third proportional to 645,989,427 and 1,002,200,422.50 is: 1,554,833,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,989,427 : 1,002,200,422.50 = 1,002,200,422.50 : x
  2. Step 2: Convert to fraction form
    645,989,427/1,002,200,422.50 = 1,002,200,422.50/x
  3. Step 3: Cross multiply
    645,989,427x = 1,002,200,422.50 × 1,002,200,422.50
  4. Step 4: Simplify right side
    645,989,427x = 1,004,405,686,859,178,496
  5. Step 5: Solve for x
    x = 1,004,405,686,859,178,496/645,989,427
  6. Step 6: Final answer
    x = 1,554,833,012.55

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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.