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Finding the Third Proportional to 677,688 and 1,473,420

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Solution

The third proportional to 677,688 and 1,473,420 is: 3,203,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,688 : 1,473,420 = 1,473,420 : x
  2. Step 2: Convert to fraction form
    677,688/1,473,420 = 1,473,420/x
  3. Step 3: Cross multiply
    677,688x = 1,473,420 × 1,473,420
  4. Step 4: Simplify right side
    677,688x = 2,170,966,496,400
  5. Step 5: Solve for x
    x = 2,170,966,496,400/677,688
  6. Step 6: Final answer
    x = 3,203,489.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.