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Finding the Third Proportional to 713,448,402 and 1,567,197,228

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Solution

The third proportional to 713,448,402 and 1,567,197,228 is: 3,442,585,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,448,402 : 1,567,197,228 = 1,567,197,228 : x
  2. Step 2: Convert to fraction form
    713,448,402/1,567,197,228 = 1,567,197,228/x
  3. Step 3: Cross multiply
    713,448,402x = 1,567,197,228 × 1,567,197,228
  4. Step 4: Simplify right side
    713,448,402x = 2,456,107,151,450,884,096
  5. Step 5: Solve for x
    x = 2,456,107,151,450,884,096/713,448,402
  6. Step 6: Final answer
    x = 3,442,585,538.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.