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Finding the Third Proportional to 315,074 and 470,553

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Solution

The third proportional to 315,074 and 470,553 is: 702,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,074 : 470,553 = 470,553 : x
  2. Step 2: Convert to fraction form
    315,074/470,553 = 470,553/x
  3. Step 3: Cross multiply
    315,074x = 470,553 × 470,553
  4. Step 4: Simplify right side
    315,074x = 221,420,125,809
  5. Step 5: Solve for x
    x = 221,420,125,809/315,074
  6. Step 6: Final answer
    x = 702,755.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.