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Finding the Third Proportional to 403,828,540 and 878,411,984

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Solution

The third proportional to 403,828,540 and 878,411,984 is: 1,910,730,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,828,540 : 878,411,984 = 878,411,984 : x
  2. Step 2: Convert to fraction form
    403,828,540/878,411,984 = 878,411,984/x
  3. Step 3: Cross multiply
    403,828,540x = 878,411,984 × 878,411,984
  4. Step 4: Simplify right side
    403,828,540x = 771,607,613,634,816,256
  5. Step 5: Solve for x
    x = 771,607,613,634,816,256/403,828,540
  6. Step 6: Final answer
    x = 1,910,730,761.22

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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.