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Finding the Third Proportional to 1,009,800 and 2,161,444.50

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Solution

The third proportional to 1,009,800 and 2,161,444.50 is: 4,626,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,800 : 2,161,444.50 = 2,161,444.50 : x
  2. Step 2: Convert to fraction form
    1,009,800/2,161,444.50 = 2,161,444.50/x
  3. Step 3: Cross multiply
    1,009,800x = 2,161,444.50 × 2,161,444.50
  4. Step 4: Simplify right side
    1,009,800x = 4,671,842,326,580.25
  5. Step 5: Solve for x
    x = 4,671,842,326,580.25/1,009,800
  6. Step 6: Final answer
    x = 4,626,502.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.