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Finding the Third Proportional to 8,386,464 and 18,291,117

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Solution

The third proportional to 8,386,464 and 18,291,117 is: 39,893,447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386,464 : 18,291,117 = 18,291,117 : x
  2. Step 2: Convert to fraction form
    8,386,464/18,291,117 = 18,291,117/x
  3. Step 3: Cross multiply
    8,386,464x = 18,291,117 × 18,291,117
  4. Step 4: Simplify right side
    8,386,464x = 334,564,961,107,689
  5. Step 5: Solve for x
    x = 334,564,961,107,689/8,386,464
  6. Step 6: Final answer
    x = 39,893,447.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.