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Finding the Third Proportional to 562,506 and 871,218

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Solution

The third proportional to 562,506 and 871,218 is: 1,349,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,506 : 871,218 = 871,218 : x
  2. Step 2: Convert to fraction form
    562,506/871,218 = 871,218/x
  3. Step 3: Cross multiply
    562,506x = 871,218 × 871,218
  4. Step 4: Simplify right side
    562,506x = 759,020,803,524
  5. Step 5: Solve for x
    x = 759,020,803,524/562,506
  6. Step 6: Final answer
    x = 1,349,355.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.