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Finding the Third Proportional to 308,898 and 478,746

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Solution

The third proportional to 308,898 and 478,746 is: 741,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,898 : 478,746 = 478,746 : x
  2. Step 2: Convert to fraction form
    308,898/478,746 = 478,746/x
  3. Step 3: Cross multiply
    308,898x = 478,746 × 478,746
  4. Step 4: Simplify right side
    308,898x = 229,197,732,516
  5. Step 5: Solve for x
    x = 229,197,732,516/308,898
  6. Step 6: Final answer
    x = 741,985.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.