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Finding the Third Proportional to 40,242,724 and 87,290,838

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Solution

The third proportional to 40,242,724 and 87,290,838 is: 189,343,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,242,724 : 87,290,838 = 87,290,838 : x
  2. Step 2: Convert to fraction form
    40,242,724/87,290,838 = 87,290,838/x
  3. Step 3: Cross multiply
    40,242,724x = 87,290,838 × 87,290,838
  4. Step 4: Simplify right side
    40,242,724x = 7,619,690,398,742,244
  5. Step 5: Solve for x
    x = 7,619,690,398,742,244/40,242,724
  6. Step 6: Final answer
    x = 189,343,305.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.