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Finding the Third Proportional to 395,040 and 564,510

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Solution

The third proportional to 395,040 and 564,510 is: 806,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,040 : 564,510 = 564,510 : x
  2. Step 2: Convert to fraction form
    395,040/564,510 = 564,510/x
  3. Step 3: Cross multiply
    395,040x = 564,510 × 564,510
  4. Step 4: Simplify right side
    395,040x = 318,671,540,100
  5. Step 5: Solve for x
    x = 318,671,540,100/395,040
  6. Step 6: Final answer
    x = 806,681.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.