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Finding the Third Proportional to 565,445 and 831,207

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Solution

The third proportional to 565,445 and 831,207 is: 1,221,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,445 : 831,207 = 831,207 : x
  2. Step 2: Convert to fraction form
    565,445/831,207 = 831,207/x
  3. Step 3: Cross multiply
    565,445x = 831,207 × 831,207
  4. Step 4: Simplify right side
    565,445x = 690,905,076,849
  5. Step 5: Solve for x
    x = 690,905,076,849/565,445
  6. Step 6: Final answer
    x = 1,221,878.48

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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.