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Finding the Third Proportional to 145,345.50 and 308,282.63

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Solution

The third proportional to 145,345.50 and 308,282.63 is: 653,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,345.50 : 308,282.63 = 308,282.63 : x
  2. Step 2: Convert to fraction form
    145,345.50/308,282.63 = 308,282.63/x
  3. Step 3: Cross multiply
    145,345.50x = 308,282.63 × 308,282.63
  4. Step 4: Simplify right side
    145,345.50x = 95,038,176,876.89
  5. Step 5: Solve for x
    x = 95,038,176,876.89/145,345.50
  6. Step 6: Final answer
    x = 653,877.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.