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Finding the Third Proportional to 458,642 and 708,411

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Solution

The third proportional to 458,642 and 708,411 is: 1,094,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,642 : 708,411 = 708,411 : x
  2. Step 2: Convert to fraction form
    458,642/708,411 = 708,411/x
  3. Step 3: Cross multiply
    458,642x = 708,411 × 708,411
  4. Step 4: Simplify right side
    458,642x = 501,846,144,921
  5. Step 5: Solve for x
    x = 501,846,144,921/458,642
  6. Step 6: Final answer
    x = 1,094,200.15

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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.