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Finding the Third Proportional to 356,718.50 and 742,961

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Solution

The third proportional to 356,718.50 and 742,961 is: 1,547,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,718.50 : 742,961 = 742,961 : x
  2. Step 2: Convert to fraction form
    356,718.50/742,961 = 742,961/x
  3. Step 3: Cross multiply
    356,718.50x = 742,961 × 742,961
  4. Step 4: Simplify right side
    356,718.50x = 551,991,047,521
  5. Step 5: Solve for x
    x = 551,991,047,521/356,718.50
  6. Step 6: Final answer
    x = 1,547,413.57

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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.