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Finding the Third Proportional to 308,850 and 460,574

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Solution

The third proportional to 308,850 and 460,574 is: 686,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,850 : 460,574 = 460,574 : x
  2. Step 2: Convert to fraction form
    308,850/460,574 = 460,574/x
  3. Step 3: Cross multiply
    308,850x = 460,574 × 460,574
  4. Step 4: Simplify right side
    308,850x = 212,128,409,476
  5. Step 5: Solve for x
    x = 212,128,409,476/308,850
  6. Step 6: Final answer
    x = 686,833.12

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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.