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Finding the Third Proportional to 307,710 and 646,521

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Solution

The third proportional to 307,710 and 646,521 is: 1,358,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,710 : 646,521 = 646,521 : x
  2. Step 2: Convert to fraction form
    307,710/646,521 = 646,521/x
  3. Step 3: Cross multiply
    307,710x = 646,521 × 646,521
  4. Step 4: Simplify right side
    307,710x = 417,989,403,441
  5. Step 5: Solve for x
    x = 417,989,403,441/307,710
  6. Step 6: Final answer
    x = 1,358,387.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.