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Finding the Third Proportional to 310,748 and 470,324

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Solution

The third proportional to 310,748 and 470,324 is: 711,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,748 : 470,324 = 470,324 : x
  2. Step 2: Convert to fraction form
    310,748/470,324 = 470,324/x
  3. Step 3: Cross multiply
    310,748x = 470,324 × 470,324
  4. Step 4: Simplify right side
    310,748x = 221,204,664,976
  5. Step 5: Solve for x
    x = 221,204,664,976/310,748
  6. Step 6: Final answer
    x = 711,845.82

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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.