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Finding the Third Proportional to 310,829 and 472,319

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Solution

The third proportional to 310,829 and 472,319 is: 717,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,829 : 472,319 = 472,319 : x
  2. Step 2: Convert to fraction form
    310,829/472,319 = 472,319/x
  3. Step 3: Cross multiply
    310,829x = 472,319 × 472,319
  4. Step 4: Simplify right side
    310,829x = 223,085,237,761
  5. Step 5: Solve for x
    x = 223,085,237,761/310,829
  6. Step 6: Final answer
    x = 717,710.50

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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.