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Finding the Third Proportional to 300,753,106.31 and 478,557,304.88

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Solution

The third proportional to 300,753,106.31 and 478,557,304.88 is: 761,478,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,753,106.31 : 478,557,304.88 = 478,557,304.88 : x
  2. Step 2: Convert to fraction form
    300,753,106.31/478,557,304.88 = 478,557,304.88/x
  3. Step 3: Cross multiply
    300,753,106.31x = 478,557,304.88 × 478,557,304.88
  4. Step 4: Simplify right side
    300,753,106.31x = 229,017,094,049,223,712
  5. Step 5: Solve for x
    x = 229,017,094,049,223,712/300,753,106.31
  6. Step 6: Final answer
    x = 761,478,732.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.