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Finding the Third Proportional to 520,089 and 776,701

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Solution

The third proportional to 520,089 and 776,701 is: 1,159,925.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,089 : 776,701 = 776,701 : x
  2. Step 2: Convert to fraction form
    520,089/776,701 = 776,701/x
  3. Step 3: Cross multiply
    520,089x = 776,701 × 776,701
  4. Step 4: Simplify right side
    520,089x = 603,264,443,401
  5. Step 5: Solve for x
    x = 603,264,443,401/520,089
  6. Step 6: Final answer
    x = 1,159,925.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.