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Finding the Third Proportional to 460,707.75 and 728,479.13

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Solution

The third proportional to 460,707.75 and 728,479.13 is: 1,151,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,707.75 : 728,479.13 = 728,479.13 : x
  2. Step 2: Convert to fraction form
    460,707.75/728,479.13 = 728,479.13/x
  3. Step 3: Cross multiply
    460,707.75x = 728,479.13 × 728,479.13
  4. Step 4: Simplify right side
    460,707.75x = 530,681,835,560.77
  5. Step 5: Solve for x
    x = 530,681,835,560.77/460,707.75
  6. Step 6: Final answer
    x = 1,151,883.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.