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Finding the Third Proportional to 563,900 and 830,270

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Solution

The third proportional to 563,900 and 830,270 is: 1,222,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,900 : 830,270 = 830,270 : x
  2. Step 2: Convert to fraction form
    563,900/830,270 = 830,270/x
  3. Step 3: Cross multiply
    563,900x = 830,270 × 830,270
  4. Step 4: Simplify right side
    563,900x = 689,348,272,900
  5. Step 5: Solve for x
    x = 689,348,272,900/563,900
  6. Step 6: Final answer
    x = 1,222,465.46

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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.