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Finding the Third Proportional to 386,572 and 784,072

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Solution

The third proportional to 386,572 and 784,072 is: 1,590,308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,572 : 784,072 = 784,072 : x
  2. Step 2: Convert to fraction form
    386,572/784,072 = 784,072/x
  3. Step 3: Cross multiply
    386,572x = 784,072 × 784,072
  4. Step 4: Simplify right side
    386,572x = 614,768,901,184
  5. Step 5: Solve for x
    x = 614,768,901,184/386,572
  6. Step 6: Final answer
    x = 1,590,308.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.