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Finding the Third Proportional to 388,390 and 832,724

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Solution

The third proportional to 388,390 and 832,724 is: 1,785,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,390 : 832,724 = 832,724 : x
  2. Step 2: Convert to fraction form
    388,390/832,724 = 832,724/x
  3. Step 3: Cross multiply
    388,390x = 832,724 × 832,724
  4. Step 4: Simplify right side
    388,390x = 693,429,260,176
  5. Step 5: Solve for x
    x = 693,429,260,176/388,390
  6. Step 6: Final answer
    x = 1,785,394.22

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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.