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Finding the Third Proportional to 540,822 and 840,732

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Solution

The third proportional to 540,822 and 840,732 is: 1,306,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,822 : 840,732 = 840,732 : x
  2. Step 2: Convert to fraction form
    540,822/840,732 = 840,732/x
  3. Step 3: Cross multiply
    540,822x = 840,732 × 840,732
  4. Step 4: Simplify right side
    540,822x = 706,830,295,824
  5. Step 5: Solve for x
    x = 706,830,295,824/540,822
  6. Step 6: Final answer
    x = 1,306,955.52

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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.