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Finding the Third Proportional to 464,490 and 1,020,323.25

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Solution

The third proportional to 464,490 and 1,020,323.25 is: 2,241,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,490 : 1,020,323.25 = 1,020,323.25 : x
  2. Step 2: Convert to fraction form
    464,490/1,020,323.25 = 1,020,323.25/x
  3. Step 3: Cross multiply
    464,490x = 1,020,323.25 × 1,020,323.25
  4. Step 4: Simplify right side
    464,490x = 1,041,059,534,490.56
  5. Step 5: Solve for x
    x = 1,041,059,534,490.56/464,490
  6. Step 6: Final answer
    x = 2,241,295.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.