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Finding the Third Proportional to 426,073.50 and 916,521.75

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Solution

The third proportional to 426,073.50 and 916,521.75 is: 1,971,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,073.50 : 916,521.75 = 916,521.75 : x
  2. Step 2: Convert to fraction form
    426,073.50/916,521.75 = 916,521.75/x
  3. Step 3: Cross multiply
    426,073.50x = 916,521.75 × 916,521.75
  4. Step 4: Simplify right side
    426,073.50x = 840,012,118,223.06
  5. Step 5: Solve for x
    x = 840,012,118,223.06/426,073.50
  6. Step 6: Final answer
    x = 1,971,519.28

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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.