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Finding the Third Proportional to 300,753,111 and 478,557,312

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Solution

The third proportional to 300,753,111 and 478,557,312 is: 761,478,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,753,111 : 478,557,312 = 478,557,312 : x
  2. Step 2: Convert to fraction form
    300,753,111/478,557,312 = 478,557,312/x
  3. Step 3: Cross multiply
    300,753,111x = 478,557,312 × 478,557,312
  4. Step 4: Simplify right side
    300,753,111x = 229,017,100,868,665,344
  5. Step 5: Solve for x
    x = 229,017,100,868,665,344/300,753,111
  6. Step 6: Final answer
    x = 761,478,742.84

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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.