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Finding the Third Proportional to 480,420 and 695,808

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Solution

The third proportional to 480,420 and 695,808 is: 1,007,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,420 : 695,808 = 695,808 : x
  2. Step 2: Convert to fraction form
    480,420/695,808 = 695,808/x
  3. Step 3: Cross multiply
    480,420x = 695,808 × 695,808
  4. Step 4: Simplify right side
    480,420x = 484,148,772,864
  5. Step 5: Solve for x
    x = 484,148,772,864/480,420
  6. Step 6: Final answer
    x = 1,007,761.49

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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.