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Finding the Third Proportional to 309,130 and 651,471

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Solution

The third proportional to 309,130 and 651,471 is: 1,372,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,130 : 651,471 = 651,471 : x
  2. Step 2: Convert to fraction form
    309,130/651,471 = 651,471/x
  3. Step 3: Cross multiply
    309,130x = 651,471 × 651,471
  4. Step 4: Simplify right side
    309,130x = 424,414,463,841
  5. Step 5: Solve for x
    x = 424,414,463,841/309,130
  6. Step 6: Final answer
    x = 1,372,931.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.