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Finding the Third Proportional to 687,823.50 and 917,343

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Solution

The third proportional to 687,823.50 and 917,343 is: 1,223,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,823.50 : 917,343 = 917,343 : x
  2. Step 2: Convert to fraction form
    687,823.50/917,343 = 917,343/x
  3. Step 3: Cross multiply
    687,823.50x = 917,343 × 917,343
  4. Step 4: Simplify right side
    687,823.50x = 841,518,179,649
  5. Step 5: Solve for x
    x = 841,518,179,649/687,823.50
  6. Step 6: Final answer
    x = 1,223,450.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.