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Finding the Third Proportional to 470,378 and 709,887

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Solution

The third proportional to 470,378 and 709,887 is: 1,071,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,378 : 709,887 = 709,887 : x
  2. Step 2: Convert to fraction form
    470,378/709,887 = 709,887/x
  3. Step 3: Cross multiply
    470,378x = 709,887 × 709,887
  4. Step 4: Simplify right side
    470,378x = 503,939,552,769
  5. Step 5: Solve for x
    x = 503,939,552,769/470,378
  6. Step 6: Final answer
    x = 1,071,350.18

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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.