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Finding the Third Proportional to 396,153,288 and 868,833,972

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Solution

The third proportional to 396,153,288 and 868,833,972 is: 1,905,506,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,153,288 : 868,833,972 = 868,833,972 : x
  2. Step 2: Convert to fraction form
    396,153,288/868,833,972 = 868,833,972/x
  3. Step 3: Cross multiply
    396,153,288x = 868,833,972 × 868,833,972
  4. Step 4: Simplify right side
    396,153,288x = 754,872,470,901,296,768
  5. Step 5: Solve for x
    x = 754,872,470,901,296,768/396,153,288
  6. Step 6: Final answer
    x = 1,905,506,009.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.