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Finding the Third Proportional to 690,018 and 1,047,475

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Solution

The third proportional to 690,018 and 1,047,475 is: 1,590,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,018 : 1,047,475 = 1,047,475 : x
  2. Step 2: Convert to fraction form
    690,018/1,047,475 = 1,047,475/x
  3. Step 3: Cross multiply
    690,018x = 1,047,475 × 1,047,475
  4. Step 4: Simplify right side
    690,018x = 1,097,203,875,625
  5. Step 5: Solve for x
    x = 1,097,203,875,625/690,018
  6. Step 6: Final answer
    x = 1,590,109.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.