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Finding the Third Proportional to 267,748 and 430,488

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Solution

The third proportional to 267,748 and 430,488 is: 692,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,748 : 430,488 = 430,488 : x
  2. Step 2: Convert to fraction form
    267,748/430,488 = 430,488/x
  3. Step 3: Cross multiply
    267,748x = 430,488 × 430,488
  4. Step 4: Simplify right side
    267,748x = 185,319,918,144
  5. Step 5: Solve for x
    x = 185,319,918,144/267,748
  6. Step 6: Final answer
    x = 692,143.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.