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Finding the Third Proportional to 1,217,781 and 1,730,902.50

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Solution

The third proportional to 1,217,781 and 1,730,902.50 is: 2,460,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,781 : 1,730,902.50 = 1,730,902.50 : x
  2. Step 2: Convert to fraction form
    1,217,781/1,730,902.50 = 1,730,902.50/x
  3. Step 3: Cross multiply
    1,217,781x = 1,730,902.50 × 1,730,902.50
  4. Step 4: Simplify right side
    1,217,781x = 2,996,023,464,506.25
  5. Step 5: Solve for x
    x = 2,996,023,464,506.25/1,217,781
  6. Step 6: Final answer
    x = 2,460,231.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.