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Finding the Third Proportional to 356,475 and 742,437

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Solution

The third proportional to 356,475 and 742,437 is: 1,546,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,475 : 742,437 = 742,437 : x
  2. Step 2: Convert to fraction form
    356,475/742,437 = 742,437/x
  3. Step 3: Cross multiply
    356,475x = 742,437 × 742,437
  4. Step 4: Simplify right side
    356,475x = 551,212,698,969
  5. Step 5: Solve for x
    x = 551,212,698,969/356,475
  6. Step 6: Final answer
    x = 1,546,287.11

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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.