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Finding the Third Proportional to 8,294,749.10 and 12,878,840.32

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Solution

The third proportional to 8,294,749.10 and 12,878,840.32 is: 19,996,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294,749.10 : 12,878,840.32 = 12,878,840.32 : x
  2. Step 2: Convert to fraction form
    8,294,749.10/12,878,840.32 = 12,878,840.32/x
  3. Step 3: Cross multiply
    8,294,749.10x = 12,878,840.32 × 12,878,840.32
  4. Step 4: Simplify right side
    8,294,749.10x = 165,864,527,996,094.12
  5. Step 5: Solve for x
    x = 165,864,527,996,094.12/8,294,749.10
  6. Step 6: Final answer
    x = 19,996,328.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.