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Finding the Third Proportional to 315,338.06 and 709,613.16

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Solution

The third proportional to 315,338.06 and 709,613.16 is: 1,596,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,338.06 : 709,613.16 = 709,613.16 : x
  2. Step 2: Convert to fraction form
    315,338.06/709,613.16 = 709,613.16/x
  3. Step 3: Cross multiply
    315,338.06x = 709,613.16 × 709,613.16
  4. Step 4: Simplify right side
    315,338.06x = 503,550,831,523.09
  5. Step 5: Solve for x
    x = 503,550,831,523.09/315,338.06
  6. Step 6: Final answer
    x = 1,596,860.30

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.