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Finding the Third Proportional to 778,990.50 and 1,232,445.38

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Solution

The third proportional to 778,990.50 and 1,232,445.38 is: 1,949,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,990.50 : 1,232,445.38 = 1,232,445.38 : x
  2. Step 2: Convert to fraction form
    778,990.50/1,232,445.38 = 1,232,445.38/x
  3. Step 3: Cross multiply
    778,990.50x = 1,232,445.38 × 1,232,445.38
  4. Step 4: Simplify right side
    778,990.50x = 1,518,921,602,358.89
  5. Step 5: Solve for x
    x = 1,518,921,602,358.89/778,990.50
  6. Step 6: Final answer
    x = 1,949,858.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.