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Finding the Third Proportional to 356,726 and 742,963

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Solution

The third proportional to 356,726 and 742,963 is: 1,547,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,726 : 742,963 = 742,963 : x
  2. Step 2: Convert to fraction form
    356,726/742,963 = 742,963/x
  3. Step 3: Cross multiply
    356,726x = 742,963 × 742,963
  4. Step 4: Simplify right side
    356,726x = 551,994,019,369
  5. Step 5: Solve for x
    x = 551,994,019,369/356,726
  6. Step 6: Final answer
    x = 1,547,389.37

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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.