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Finding the Third Proportional to 21,387,678 and 46,184,434.50

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Solution

The third proportional to 21,387,678 and 46,184,434.50 is: 99,730,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,387,678 : 46,184,434.50 = 46,184,434.50 : x
  2. Step 2: Convert to fraction form
    21,387,678/46,184,434.50 = 46,184,434.50/x
  3. Step 3: Cross multiply
    21,387,678x = 46,184,434.50 × 46,184,434.50
  4. Step 4: Simplify right side
    21,387,678x = 2,133,001,990,084,790.25
  5. Step 5: Solve for x
    x = 2,133,001,990,084,790.25/21,387,678
  6. Step 6: Final answer
    x = 99,730,414.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.