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Finding the Third Proportional to 515,388 and 802,518

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Solution

The third proportional to 515,388 and 802,518 is: 1,249,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,388 : 802,518 = 802,518 : x
  2. Step 2: Convert to fraction form
    515,388/802,518 = 802,518/x
  3. Step 3: Cross multiply
    515,388x = 802,518 × 802,518
  4. Step 4: Simplify right side
    515,388x = 644,035,140,324
  5. Step 5: Solve for x
    x = 644,035,140,324/515,388
  6. Step 6: Final answer
    x = 1,249,612.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.