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Finding the Third Proportional to 420,795 and 912,121.50

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Solution

The third proportional to 420,795 and 912,121.50 is: 1,977,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,795 : 912,121.50 = 912,121.50 : x
  2. Step 2: Convert to fraction form
    420,795/912,121.50 = 912,121.50/x
  3. Step 3: Cross multiply
    420,795x = 912,121.50 × 912,121.50
  4. Step 4: Simplify right side
    420,795x = 831,965,630,762.25
  5. Step 5: Solve for x
    x = 831,965,630,762.25/420,795
  6. Step 6: Final answer
    x = 1,977,128.13

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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.