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Finding the Third Proportional to 307,913 and 460,641

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Solution

The third proportional to 307,913 and 460,641 is: 689,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,913 : 460,641 = 460,641 : x
  2. Step 2: Convert to fraction form
    307,913/460,641 = 460,641/x
  3. Step 3: Cross multiply
    307,913x = 460,641 × 460,641
  4. Step 4: Simplify right side
    307,913x = 212,190,130,881
  5. Step 5: Solve for x
    x = 212,190,130,881/307,913
  6. Step 6: Final answer
    x = 689,123.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.