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Finding the Third Proportional to 357,076 and 473,890

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Solution

The third proportional to 357,076 and 473,890 is: 628,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,076 : 473,890 = 473,890 : x
  2. Step 2: Convert to fraction form
    357,076/473,890 = 473,890/x
  3. Step 3: Cross multiply
    357,076x = 473,890 × 473,890
  4. Step 4: Simplify right side
    357,076x = 224,571,732,100
  5. Step 5: Solve for x
    x = 224,571,732,100/357,076
  6. Step 6: Final answer
    x = 628,918.58

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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.