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Finding the Third Proportional to 356,315 and 742,113

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Solution

The third proportional to 356,315 and 742,113 is: 1,545,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,315 : 742,113 = 742,113 : x
  2. Step 2: Convert to fraction form
    356,315/742,113 = 742,113/x
  3. Step 3: Cross multiply
    356,315x = 742,113 × 742,113
  4. Step 4: Simplify right side
    356,315x = 550,731,704,769
  5. Step 5: Solve for x
    x = 550,731,704,769/356,315
  6. Step 6: Final answer
    x = 1,545,631.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.