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Finding the Third Proportional to 418,084.88 and 617,285.81

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Solution

The third proportional to 418,084.88 and 617,285.81 is: 911,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,084.88 : 617,285.81 = 617,285.81 : x
  2. Step 2: Convert to fraction form
    418,084.88/617,285.81 = 617,285.81/x
  3. Step 3: Cross multiply
    418,084.88x = 617,285.81 × 617,285.81
  4. Step 4: Simplify right side
    418,084.88x = 381,041,774,313.79
  5. Step 5: Solve for x
    x = 381,041,774,313.79/418,084.88
  6. Step 6: Final answer
    x = 911,398.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.