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Finding the Third Proportional to 400,770 and 536,355

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Solution

The third proportional to 400,770 and 536,355 is: 717,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,770 : 536,355 = 536,355 : x
  2. Step 2: Convert to fraction form
    400,770/536,355 = 536,355/x
  3. Step 3: Cross multiply
    400,770x = 536,355 × 536,355
  4. Step 4: Simplify right side
    400,770x = 287,676,686,025
  5. Step 5: Solve for x
    x = 287,676,686,025/400,770
  6. Step 6: Final answer
    x = 717,809.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.