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Finding the Third Proportional to 388,430 and 847,470

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Solution

The third proportional to 388,430 and 847,470 is: 1,848,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,430 : 847,470 = 847,470 : x
  2. Step 2: Convert to fraction form
    388,430/847,470 = 847,470/x
  3. Step 3: Cross multiply
    388,430x = 847,470 × 847,470
  4. Step 4: Simplify right side
    388,430x = 718,205,400,900
  5. Step 5: Solve for x
    x = 718,205,400,900/388,430
  6. Step 6: Final answer
    x = 1,848,995.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.