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Finding the Third Proportional to 377,030 and 819,506

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Solution

The third proportional to 377,030 and 819,506 is: 1,781,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,030 : 819,506 = 819,506 : x
  2. Step 2: Convert to fraction form
    377,030/819,506 = 819,506/x
  3. Step 3: Cross multiply
    377,030x = 819,506 × 819,506
  4. Step 4: Simplify right side
    377,030x = 671,590,084,036
  5. Step 5: Solve for x
    x = 671,590,084,036/377,030
  6. Step 6: Final answer
    x = 1,781,264.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.