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Finding the Third Proportional to 618,365,030 and 1,347,840,591.50

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Solution

The third proportional to 618,365,030 and 1,347,840,591.50 is: 2,937,867,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,365,030 : 1,347,840,591.50 = 1,347,840,591.50 : x
  2. Step 2: Convert to fraction form
    618,365,030/1,347,840,591.50 = 1,347,840,591.50/x
  3. Step 3: Cross multiply
    618,365,030x = 1,347,840,591.50 × 1,347,840,591.50
  4. Step 4: Simplify right side
    618,365,030x = 1,816,674,260,095,069,952
  5. Step 5: Solve for x
    x = 1,816,674,260,095,069,952/618,365,030
  6. Step 6: Final answer
    x = 2,937,867,071.97

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Why These Related Problems?

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