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Finding the Third Proportional to 235,090 and 358,142

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Solution

The third proportional to 235,090 and 358,142 is: 545,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,090 : 358,142 = 358,142 : x
  2. Step 2: Convert to fraction form
    235,090/358,142 = 358,142/x
  3. Step 3: Cross multiply
    235,090x = 358,142 × 358,142
  4. Step 4: Simplify right side
    235,090x = 128,265,692,164
  5. Step 5: Solve for x
    x = 128,265,692,164/235,090
  6. Step 6: Final answer
    x = 545,602.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.