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Finding the Third Proportional to 300,753,097.50 and 478,557,291.75

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Solution

The third proportional to 300,753,097.50 and 478,557,291.75 is: 761,478,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,753,097.50 : 478,557,291.75 = 478,557,291.75 : x
  2. Step 2: Convert to fraction form
    300,753,097.50/478,557,291.75 = 478,557,291.75/x
  3. Step 3: Cross multiply
    300,753,097.50x = 478,557,291.75 × 478,557,291.75
  4. Step 4: Simplify right side
    300,753,097.50x = 229,017,081,487,094,624
  5. Step 5: Solve for x
    x = 229,017,081,487,094,624/300,753,097.50
  6. Step 6: Final answer
    x = 761,478,712.57

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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.