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Finding the Third Proportional to 476,784.75 and 720,038.25

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Solution

The third proportional to 476,784.75 and 720,038.25 is: 1,087,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,784.75 : 720,038.25 = 720,038.25 : x
  2. Step 2: Convert to fraction form
    476,784.75/720,038.25 = 720,038.25/x
  3. Step 3: Cross multiply
    476,784.75x = 720,038.25 × 720,038.25
  4. Step 4: Simplify right side
    476,784.75x = 518,455,081,463.06
  5. Step 5: Solve for x
    x = 518,455,081,463.06/476,784.75
  6. Step 6: Final answer
    x = 1,087,398.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.