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Finding the Third Proportional to 504,520 and 781,998

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Solution

The third proportional to 504,520 and 781,998 is: 1,212,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,520 : 781,998 = 781,998 : x
  2. Step 2: Convert to fraction form
    504,520/781,998 = 781,998/x
  3. Step 3: Cross multiply
    504,520x = 781,998 × 781,998
  4. Step 4: Simplify right side
    504,520x = 611,520,872,004
  5. Step 5: Solve for x
    x = 611,520,872,004/504,520
  6. Step 6: Final answer
    x = 1,212,084.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.