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Finding the Third Proportional to 287,803 and 435,719

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Solution

The third proportional to 287,803 and 435,719 is: 659,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,803 : 435,719 = 435,719 : x
  2. Step 2: Convert to fraction form
    287,803/435,719 = 435,719/x
  3. Step 3: Cross multiply
    287,803x = 435,719 × 435,719
  4. Step 4: Simplify right side
    287,803x = 189,851,046,961
  5. Step 5: Solve for x
    x = 189,851,046,961/287,803
  6. Step 6: Final answer
    x = 659,656.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.