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Finding the Third Proportional to 456,642 and 716,310

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Solution

The third proportional to 456,642 and 716,310 is: 1,123,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,642 : 716,310 = 716,310 : x
  2. Step 2: Convert to fraction form
    456,642/716,310 = 716,310/x
  3. Step 3: Cross multiply
    456,642x = 716,310 × 716,310
  4. Step 4: Simplify right side
    456,642x = 513,100,016,100
  5. Step 5: Solve for x
    x = 513,100,016,100/456,642
  6. Step 6: Final answer
    x = 1,123,637.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.