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Finding the Third Proportional to 321,510 and 473,382

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Solution

The third proportional to 321,510 and 473,382 is: 696,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,510 : 473,382 = 473,382 : x
  2. Step 2: Convert to fraction form
    321,510/473,382 = 473,382/x
  3. Step 3: Cross multiply
    321,510x = 473,382 × 473,382
  4. Step 4: Simplify right side
    321,510x = 224,090,517,924
  5. Step 5: Solve for x
    x = 224,090,517,924/321,510
  6. Step 6: Final answer
    x = 696,993.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.