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Finding the Third Proportional to 1,988,289.75 and 3,153,430.88

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Solution

The third proportional to 1,988,289.75 and 3,153,430.88 is: 5,001,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988,289.75 : 3,153,430.88 = 3,153,430.88 : x
  2. Step 2: Convert to fraction form
    1,988,289.75/3,153,430.88 = 3,153,430.88/x
  3. Step 3: Cross multiply
    1,988,289.75x = 3,153,430.88 × 3,153,430.88
  4. Step 4: Simplify right side
    1,988,289.75x = 9,944,126,283,403.27
  5. Step 5: Solve for x
    x = 9,944,126,283,403.27/1,988,289.75
  6. Step 6: Final answer
    x = 5,001,346.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.