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Finding the Third Proportional to 428,416,304.83 and 932,889,115.23

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Solution

The third proportional to 428,416,304.83 and 932,889,115.23 is: 2,031,393,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,416,304.83 : 932,889,115.23 = 932,889,115.23 : x
  2. Step 2: Convert to fraction form
    428,416,304.83/932,889,115.23 = 932,889,115.23/x
  3. Step 3: Cross multiply
    428,416,304.83x = 932,889,115.23 × 932,889,115.23
  4. Step 4: Simplify right side
    428,416,304.83x = 870,282,101,323,679,744
  5. Step 5: Solve for x
    x = 870,282,101,323,679,744/428,416,304.83
  6. Step 6: Final answer
    x = 2,031,393,510.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.