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Finding the Third Proportional to 426,347.25 and 917,211

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Solution

The third proportional to 426,347.25 and 917,211 is: 1,973,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,347.25 : 917,211 = 917,211 : x
  2. Step 2: Convert to fraction form
    426,347.25/917,211 = 917,211/x
  3. Step 3: Cross multiply
    426,347.25x = 917,211 × 917,211
  4. Step 4: Simplify right side
    426,347.25x = 841,276,018,521
  5. Step 5: Solve for x
    x = 841,276,018,521/426,347.25
  6. Step 6: Final answer
    x = 1,973,217.88

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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.