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Finding the Third Proportional to 147,820 and 306,139

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Solution

The third proportional to 147,820 and 306,139 is: 634,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,820 : 306,139 = 306,139 : x
  2. Step 2: Convert to fraction form
    147,820/306,139 = 306,139/x
  3. Step 3: Cross multiply
    147,820x = 306,139 × 306,139
  4. Step 4: Simplify right side
    147,820x = 93,721,087,321
  5. Step 5: Solve for x
    x = 93,721,087,321/147,820
  6. Step 6: Final answer
    x = 634,021.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.