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Finding the Third Proportional to 577,503 and 840,010.50

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Solution

The third proportional to 577,503 and 840,010.50 is: 1,221,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,503 : 840,010.50 = 840,010.50 : x
  2. Step 2: Convert to fraction form
    577,503/840,010.50 = 840,010.50/x
  3. Step 3: Cross multiply
    577,503x = 840,010.50 × 840,010.50
  4. Step 4: Simplify right side
    577,503x = 705,617,640,110.25
  5. Step 5: Solve for x
    x = 705,617,640,110.25/577,503
  6. Step 6: Final answer
    x = 1,221,842.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.