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Finding the Third Proportional to 6,430,862 and 13,980,316

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Solution

The third proportional to 6,430,862 and 13,980,316 is: 30,392,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,862 : 13,980,316 = 13,980,316 : x
  2. Step 2: Convert to fraction form
    6,430,862/13,980,316 = 13,980,316/x
  3. Step 3: Cross multiply
    6,430,862x = 13,980,316 × 13,980,316
  4. Step 4: Simplify right side
    6,430,862x = 195,449,235,459,856
  5. Step 5: Solve for x
    x = 195,449,235,459,856/6,430,862
  6. Step 6: Final answer
    x = 30,392,385.26

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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.