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Finding the Third Proportional to 458,721 and 708,117.75

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Solution

The third proportional to 458,721 and 708,117.75 is: 1,093,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,721 : 708,117.75 = 708,117.75 : x
  2. Step 2: Convert to fraction form
    458,721/708,117.75 = 708,117.75/x
  3. Step 3: Cross multiply
    458,721x = 708,117.75 × 708,117.75
  4. Step 4: Simplify right side
    458,721x = 501,430,747,865.06
  5. Step 5: Solve for x
    x = 501,430,747,865.06/458,721
  6. Step 6: Final answer
    x = 1,093,106.15

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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.