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Finding the Third Proportional to 388,386 and 832,716

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Solution

The third proportional to 388,386 and 832,716 is: 1,785,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,386 : 832,716 = 832,716 : x
  2. Step 2: Convert to fraction form
    388,386/832,716 = 832,716/x
  3. Step 3: Cross multiply
    388,386x = 832,716 × 832,716
  4. Step 4: Simplify right side
    388,386x = 693,415,936,656
  5. Step 5: Solve for x
    x = 693,415,936,656/388,386
  6. Step 6: Final answer
    x = 1,785,378.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.