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Finding the Third Proportional to 780,143,133 and 1,069,765,789.50

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Solution

The third proportional to 780,143,133 and 1,069,765,789.50 is: 1,466,908,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,143,133 : 1,069,765,789.50 = 1,069,765,789.50 : x
  2. Step 2: Convert to fraction form
    780,143,133/1,069,765,789.50 = 1,069,765,789.50/x
  3. Step 3: Cross multiply
    780,143,133x = 1,069,765,789.50 × 1,069,765,789.50
  4. Step 4: Simplify right side
    780,143,133x = 1,144,398,844,384,558,336
  5. Step 5: Solve for x
    x = 1,144,398,844,384,558,336/780,143,133
  6. Step 6: Final answer
    x = 1,466,908,822.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.