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Finding the Third Proportional to 8,405,952 and 13,312,656

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Solution

The third proportional to 8,405,952 and 13,312,656 is: 21,083,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405,952 : 13,312,656 = 13,312,656 : x
  2. Step 2: Convert to fraction form
    8,405,952/13,312,656 = 13,312,656/x
  3. Step 3: Cross multiply
    8,405,952x = 13,312,656 × 13,312,656
  4. Step 4: Simplify right side
    8,405,952x = 177,226,809,774,336
  5. Step 5: Solve for x
    x = 177,226,809,774,336/8,405,952
  6. Step 6: Final answer
    x = 21,083,490.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.