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Finding the Third Proportional to 456,489 and 712,368

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Solution

The third proportional to 456,489 and 712,368 is: 1,111,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,489 : 712,368 = 712,368 : x
  2. Step 2: Convert to fraction form
    456,489/712,368 = 712,368/x
  3. Step 3: Cross multiply
    456,489x = 712,368 × 712,368
  4. Step 4: Simplify right side
    456,489x = 507,468,167,424
  5. Step 5: Solve for x
    x = 507,468,167,424/456,489
  6. Step 6: Final answer
    x = 1,111,676.66

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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.