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Finding the Third Proportional to 458,706 and 708,512

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Solution

The third proportional to 458,706 and 708,512 is: 1,094,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,706 : 708,512 = 708,512 : x
  2. Step 2: Convert to fraction form
    458,706/708,512 = 708,512/x
  3. Step 3: Cross multiply
    458,706x = 708,512 × 708,512
  4. Step 4: Simplify right side
    458,706x = 501,989,254,144
  5. Step 5: Solve for x
    x = 501,989,254,144/458,706
  6. Step 6: Final answer
    x = 1,094,359.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.