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Finding the Third Proportional to 321,432 and 761,510

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Solution

The third proportional to 321,432 and 761,510 is: 1,804,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,432 : 761,510 = 761,510 : x
  2. Step 2: Convert to fraction form
    321,432/761,510 = 761,510/x
  3. Step 3: Cross multiply
    321,432x = 761,510 × 761,510
  4. Step 4: Simplify right side
    321,432x = 579,897,480,100
  5. Step 5: Solve for x
    x = 579,897,480,100/321,432
  6. Step 6: Final answer
    x = 1,804,106.25

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.