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Finding the Third Proportional to 389,564 and 838,312

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Solution

The third proportional to 389,564 and 838,312 is: 1,803,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,564 : 838,312 = 838,312 : x
  2. Step 2: Convert to fraction form
    389,564/838,312 = 838,312/x
  3. Step 3: Cross multiply
    389,564x = 838,312 × 838,312
  4. Step 4: Simplify right side
    389,564x = 702,767,009,344
  5. Step 5: Solve for x
    x = 702,767,009,344/389,564
  6. Step 6: Final answer
    x = 1,803,983.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.