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Finding the Third Proportional to 426,985 and 917,285

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Solution

The third proportional to 426,985 and 917,285 is: 1,970,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,985 : 917,285 = 917,285 : x
  2. Step 2: Convert to fraction form
    426,985/917,285 = 917,285/x
  3. Step 3: Cross multiply
    426,985x = 917,285 × 917,285
  4. Step 4: Simplify right side
    426,985x = 841,411,771,225
  5. Step 5: Solve for x
    x = 841,411,771,225/426,985
  6. Step 6: Final answer
    x = 1,970,588.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.