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Finding the Third Proportional to 458,705.50 and 708,511

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Solution

The third proportional to 458,705.50 and 708,511 is: 1,094,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,705.50 : 708,511 = 708,511 : x
  2. Step 2: Convert to fraction form
    458,705.50/708,511 = 708,511/x
  3. Step 3: Cross multiply
    458,705.50x = 708,511 × 708,511
  4. Step 4: Simplify right side
    458,705.50x = 501,987,837,121
  5. Step 5: Solve for x
    x = 501,987,837,121/458,705.50
  6. Step 6: Final answer
    x = 1,094,357.57

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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.