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Finding the Third Proportional to 355,310 and 546,688

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Solution

The third proportional to 355,310 and 546,688 is: 841,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,310 : 546,688 = 546,688 : x
  2. Step 2: Convert to fraction form
    355,310/546,688 = 546,688/x
  3. Step 3: Cross multiply
    355,310x = 546,688 × 546,688
  4. Step 4: Simplify right side
    355,310x = 298,867,769,344
  5. Step 5: Solve for x
    x = 298,867,769,344/355,310
  6. Step 6: Final answer
    x = 841,146.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.