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Finding the Third Proportional to 139,020 and 297,724

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Solution

The third proportional to 139,020 and 297,724 is: 637,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,020 : 297,724 = 297,724 : x
  2. Step 2: Convert to fraction form
    139,020/297,724 = 297,724/x
  3. Step 3: Cross multiply
    139,020x = 297,724 × 297,724
  4. Step 4: Simplify right side
    139,020x = 88,639,580,176
  5. Step 5: Solve for x
    x = 88,639,580,176/139,020
  6. Step 6: Final answer
    x = 637,603.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.