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Finding the Third Proportional to 300,911,738 and 415,791,681

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Solution

The third proportional to 300,911,738 and 415,791,681 is: 574,529,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,911,738 : 415,791,681 = 415,791,681 : x
  2. Step 2: Convert to fraction form
    300,911,738/415,791,681 = 415,791,681/x
  3. Step 3: Cross multiply
    300,911,738x = 415,791,681 × 415,791,681
  4. Step 4: Simplify right side
    300,911,738x = 172,882,721,988,805,760
  5. Step 5: Solve for x
    x = 172,882,721,988,805,760/300,911,738
  6. Step 6: Final answer
    x = 574,529,671.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.