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Finding the Third Proportional to 215,724,640 and 471,807,980

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Solution

The third proportional to 215,724,640 and 471,807,980 is: 1,031,883,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,724,640 : 471,807,980 = 471,807,980 : x
  2. Step 2: Convert to fraction form
    215,724,640/471,807,980 = 471,807,980/x
  3. Step 3: Cross multiply
    215,724,640x = 471,807,980 × 471,807,980
  4. Step 4: Simplify right side
    215,724,640x = 222,602,769,991,680,384
  5. Step 5: Solve for x
    x = 222,602,769,991,680,384/215,724,640
  6. Step 6: Final answer
    x = 1,031,883,840.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.