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Finding the Third Proportional to 40,242,719 and 87,290,829

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Solution

The third proportional to 40,242,719 and 87,290,829 is: 189,343,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,242,719 : 87,290,829 = 87,290,829 : x
  2. Step 2: Convert to fraction form
    40,242,719/87,290,829 = 87,290,829/x
  3. Step 3: Cross multiply
    40,242,719x = 87,290,829 × 87,290,829
  4. Step 4: Simplify right side
    40,242,719x = 7,619,688,827,507,241
  5. Step 5: Solve for x
    x = 7,619,688,827,507,241/40,242,719
  6. Step 6: Final answer
    x = 189,343,290.34

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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.