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Finding the Third Proportional to 356,465 and 742,417

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Solution

The third proportional to 356,465 and 742,417 is: 1,546,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,465 : 742,417 = 742,417 : x
  2. Step 2: Convert to fraction form
    356,465/742,417 = 742,417/x
  3. Step 3: Cross multiply
    356,465x = 742,417 × 742,417
  4. Step 4: Simplify right side
    356,465x = 551,183,001,889
  5. Step 5: Solve for x
    x = 551,183,001,889/356,465
  6. Step 6: Final answer
    x = 1,546,247.18

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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.