Home / 145,112,016.38-315,732,745.13

Finding the Third Proportional to 145,112,016.38 and 315,732,745.13

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Solution

The third proportional to 145,112,016.38 and 315,732,745.13 is: 686,966,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,112,016.38 : 315,732,745.13 = 315,732,745.13 : x
  2. Step 2: Convert to fraction form
    145,112,016.38/315,732,745.13 = 315,732,745.13/x
  3. Step 3: Cross multiply
    145,112,016.38x = 315,732,745.13 × 315,732,745.13
  4. Step 4: Simplify right side
    145,112,016.38x = 99,687,166,344,168,208
  5. Step 5: Solve for x
    x = 99,687,166,344,168,208/145,112,016.38
  6. Step 6: Final answer
    x = 686,966,998.56

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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.