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Finding the Third Proportional to 902,412 and 2,006,545.50

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Solution

The third proportional to 902,412 and 2,006,545.50 is: 4,461,626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,412 : 2,006,545.50 = 2,006,545.50 : x
  2. Step 2: Convert to fraction form
    902,412/2,006,545.50 = 2,006,545.50/x
  3. Step 3: Cross multiply
    902,412x = 2,006,545.50 × 2,006,545.50
  4. Step 4: Simplify right side
    902,412x = 4,026,224,843,570.25
  5. Step 5: Solve for x
    x = 4,026,224,843,570.25/902,412
  6. Step 6: Final answer
    x = 4,461,626.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.