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Finding the Third Proportional to 669,710 and 1,020,603

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Solution

The third proportional to 669,710 and 1,020,603 is: 1,555,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,710 : 1,020,603 = 1,020,603 : x
  2. Step 2: Convert to fraction form
    669,710/1,020,603 = 1,020,603/x
  3. Step 3: Cross multiply
    669,710x = 1,020,603 × 1,020,603
  4. Step 4: Simplify right side
    669,710x = 1,041,630,483,609
  5. Step 5: Solve for x
    x = 1,041,630,483,609/669,710
  6. Step 6: Final answer
    x = 1,555,345.57

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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.