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Finding the Third Proportional to 388,809 and 808,641

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Solution

The third proportional to 388,809 and 808,641 is: 1,681,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,809 : 808,641 = 808,641 : x
  2. Step 2: Convert to fraction form
    388,809/808,641 = 808,641/x
  3. Step 3: Cross multiply
    388,809x = 808,641 × 808,641
  4. Step 4: Simplify right side
    388,809x = 653,900,266,881
  5. Step 5: Solve for x
    x = 653,900,266,881/388,809
  6. Step 6: Final answer
    x = 1,681,803.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.