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Finding the Third Proportional to 872,140,326 and 1,340,540,088

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Solution

The third proportional to 872,140,326 and 1,340,540,088 is: 2,060,502,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,140,326 : 1,340,540,088 = 1,340,540,088 : x
  2. Step 2: Convert to fraction form
    872,140,326/1,340,540,088 = 1,340,540,088/x
  3. Step 3: Cross multiply
    872,140,326x = 1,340,540,088 × 1,340,540,088
  4. Step 4: Simplify right side
    872,140,326x = 1,797,047,727,535,047,680
  5. Step 5: Solve for x
    x = 1,797,047,727,535,047,680/872,140,326
  6. Step 6: Final answer
    x = 2,060,502,964.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.