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Finding the Third Proportional to 145,111,980 and 315,732,669

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Solution

The third proportional to 145,111,980 and 315,732,669 is: 686,966,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,111,980 : 315,732,669 = 315,732,669 : x
  2. Step 2: Convert to fraction form
    145,111,980/315,732,669 = 315,732,669/x
  3. Step 3: Cross multiply
    145,111,980x = 315,732,669 × 315,732,669
  4. Step 4: Simplify right side
    145,111,980x = 99,687,118,273,863,568
  5. Step 5: Solve for x
    x = 99,687,118,273,863,568/145,111,980
  6. Step 6: Final answer
    x = 686,966,839.50

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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.