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Finding the Third Proportional to 215,898,297.75 and 307,698,631.88

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Solution

The third proportional to 215,898,297.75 and 307,698,631.88 is: 438,532,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,898,297.75 : 307,698,631.88 = 307,698,631.88 : x
  2. Step 2: Convert to fraction form
    215,898,297.75/307,698,631.88 = 307,698,631.88/x
  3. Step 3: Cross multiply
    215,898,297.75x = 307,698,631.88 × 307,698,631.88
  4. Step 4: Simplify right side
    215,898,297.75x = 94,678,448,057,746,768
  5. Step 5: Solve for x
    x = 94,678,448,057,746,768/215,898,297.75
  6. Step 6: Final answer
    x = 438,532,628.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.