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Finding the Third Proportional to 643,138 and 1,371,709

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Solution

The third proportional to 643,138 and 1,371,709 is: 2,925,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,138 : 1,371,709 = 1,371,709 : x
  2. Step 2: Convert to fraction form
    643,138/1,371,709 = 1,371,709/x
  3. Step 3: Cross multiply
    643,138x = 1,371,709 × 1,371,709
  4. Step 4: Simplify right side
    643,138x = 1,881,585,580,681
  5. Step 5: Solve for x
    x = 1,881,585,580,681/643,138
  6. Step 6: Final answer
    x = 2,925,632.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.