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Finding the Third Proportional to 644,088 and 946,431

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Solution

The third proportional to 644,088 and 946,431 is: 1,390,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,088 : 946,431 = 946,431 : x
  2. Step 2: Convert to fraction form
    644,088/946,431 = 946,431/x
  3. Step 3: Cross multiply
    644,088x = 946,431 × 946,431
  4. Step 4: Simplify right side
    644,088x = 895,731,637,761
  5. Step 5: Solve for x
    x = 895,731,637,761/644,088
  6. Step 6: Final answer
    x = 1,390,697.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.