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Finding the Third Proportional to 349,730 and 531,434

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Solution

The third proportional to 349,730 and 531,434 is: 807,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,730 : 531,434 = 531,434 : x
  2. Step 2: Convert to fraction form
    349,730/531,434 = 531,434/x
  3. Step 3: Cross multiply
    349,730x = 531,434 × 531,434
  4. Step 4: Simplify right side
    349,730x = 282,422,096,356
  5. Step 5: Solve for x
    x = 282,422,096,356/349,730
  6. Step 6: Final answer
    x = 807,543.24

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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.