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Finding the Third Proportional to 388,760 and 634,810

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Solution

The third proportional to 388,760 and 634,810 is: 1,036,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,760 : 634,810 = 634,810 : x
  2. Step 2: Convert to fraction form
    388,760/634,810 = 634,810/x
  3. Step 3: Cross multiply
    388,760x = 634,810 × 634,810
  4. Step 4: Simplify right side
    388,760x = 402,983,736,100
  5. Step 5: Solve for x
    x = 402,983,736,100/388,760
  6. Step 6: Final answer
    x = 1,036,587.45

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.