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Finding the Third Proportional to 415,219 and 899,308

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Solution

The third proportional to 415,219 and 899,308 is: 1,947,779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,219 : 899,308 = 899,308 : x
  2. Step 2: Convert to fraction form
    415,219/899,308 = 899,308/x
  3. Step 3: Cross multiply
    415,219x = 899,308 × 899,308
  4. Step 4: Simplify right side
    415,219x = 808,754,878,864
  5. Step 5: Solve for x
    x = 808,754,878,864/415,219
  6. Step 6: Final answer
    x = 1,947,779.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.