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Finding the Third Proportional to 427,833 and 657,668.25

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Solution

The third proportional to 427,833 and 657,668.25 is: 1,010,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,833 : 657,668.25 = 657,668.25 : x
  2. Step 2: Convert to fraction form
    427,833/657,668.25 = 657,668.25/x
  3. Step 3: Cross multiply
    427,833x = 657,668.25 × 657,668.25
  4. Step 4: Simplify right side
    427,833x = 432,527,527,058.06
  5. Step 5: Solve for x
    x = 432,527,527,058.06/427,833
  6. Step 6: Final answer
    x = 1,010,972.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.