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Finding the Third Proportional to 403,781,979 and 878,422,758

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Solution

The third proportional to 403,781,979 and 878,422,758 is: 1,910,997,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,781,979 : 878,422,758 = 878,422,758 : x
  2. Step 2: Convert to fraction form
    403,781,979/878,422,758 = 878,422,758/x
  3. Step 3: Cross multiply
    403,781,979x = 878,422,758 × 878,422,758
  4. Step 4: Simplify right side
    403,781,979x = 771,626,541,772,326,528
  5. Step 5: Solve for x
    x = 771,626,541,772,326,528/403,781,979
  6. Step 6: Final answer
    x = 1,910,997,968.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.