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Finding the Third Proportional to 643,112,937 and 1,395,092,551.50

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Solution

The third proportional to 643,112,937 and 1,395,092,551.50 is: 3,026,347,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,112,937 : 1,395,092,551.50 = 1,395,092,551.50 : x
  2. Step 2: Convert to fraction form
    643,112,937/1,395,092,551.50 = 1,395,092,551.50/x
  3. Step 3: Cross multiply
    643,112,937x = 1,395,092,551.50 × 1,395,092,551.50
  4. Step 4: Simplify right side
    643,112,937x = 1,946,283,227,250,780,160
  5. Step 5: Solve for x
    x = 1,946,283,227,250,780,160/643,112,937
  6. Step 6: Final answer
    x = 3,026,347,497.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.