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Finding the Third Proportional to 520,634 and 804,547

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Solution

The third proportional to 520,634 and 804,547 is: 1,243,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,634 : 804,547 = 804,547 : x
  2. Step 2: Convert to fraction form
    520,634/804,547 = 804,547/x
  3. Step 3: Cross multiply
    520,634x = 804,547 × 804,547
  4. Step 4: Simplify right side
    520,634x = 647,295,875,209
  5. Step 5: Solve for x
    x = 647,295,875,209/520,634
  6. Step 6: Final answer
    x = 1,243,283.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.