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Finding the Third Proportional to 178,428 and 384,709

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Solution

The third proportional to 178,428 and 384,709 is: 829,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,428 : 384,709 = 384,709 : x
  2. Step 2: Convert to fraction form
    178,428/384,709 = 384,709/x
  3. Step 3: Cross multiply
    178,428x = 384,709 × 384,709
  4. Step 4: Simplify right side
    178,428x = 148,001,014,681
  5. Step 5: Solve for x
    x = 148,001,014,681/178,428
  6. Step 6: Final answer
    x = 829,471.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.