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Finding the Third Proportional to 145,263.38 and 314,654.63

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Solution

The third proportional to 145,263.38 and 314,654.63 is: 681,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,263.38 : 314,654.63 = 314,654.63 : x
  2. Step 2: Convert to fraction form
    145,263.38/314,654.63 = 314,654.63/x
  3. Step 3: Cross multiply
    145,263.38x = 314,654.63 × 314,654.63
  4. Step 4: Simplify right side
    145,263.38x = 99,007,533,033.89
  5. Step 5: Solve for x
    x = 99,007,533,033.89/145,263.38
  6. Step 6: Final answer
    x = 681,572.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.