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Finding the Third Proportional to 520,074 and 1,117,770

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Solution

The third proportional to 520,074 and 1,117,770 is: 2,402,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,074 : 1,117,770 = 1,117,770 : x
  2. Step 2: Convert to fraction form
    520,074/1,117,770 = 1,117,770/x
  3. Step 3: Cross multiply
    520,074x = 1,117,770 × 1,117,770
  4. Step 4: Simplify right side
    520,074x = 1,249,409,772,900
  5. Step 5: Solve for x
    x = 1,249,409,772,900/520,074
  6. Step 6: Final answer
    x = 2,402,369.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.