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Finding the Third Proportional to 332,141,088.84 and 713,572,984.31

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Solution

The third proportional to 332,141,088.84 and 713,572,984.31 is: 1,533,042,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,141,088.84 : 713,572,984.31 = 713,572,984.31 : x
  2. Step 2: Convert to fraction form
    332,141,088.84/713,572,984.31 = 713,572,984.31/x
  3. Step 3: Cross multiply
    332,141,088.84x = 713,572,984.31 × 713,572,984.31
  4. Step 4: Simplify right side
    332,141,088.84x = 509,186,403,940,647,360
  5. Step 5: Solve for x
    x = 509,186,403,940,647,360/332,141,088.84
  6. Step 6: Final answer
    x = 1,533,042,496.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.