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Finding the Third Proportional to 10,168,410 and 14,222,565

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Solution

The third proportional to 10,168,410 and 14,222,565 is: 19,893,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168,410 : 14,222,565 = 14,222,565 : x
  2. Step 2: Convert to fraction form
    10,168,410/14,222,565 = 14,222,565/x
  3. Step 3: Cross multiply
    10,168,410x = 14,222,565 × 14,222,565
  4. Step 4: Simplify right side
    10,168,410x = 202,281,355,179,225
  5. Step 5: Solve for x
    x = 202,281,355,179,225/10,168,410
  6. Step 6: Final answer
    x = 19,893,115.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.