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Finding the Third Proportional to 649,581 and 1,020,420

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Solution

The third proportional to 649,581 and 1,020,420 is: 1,602,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,581 : 1,020,420 = 1,020,420 : x
  2. Step 2: Convert to fraction form
    649,581/1,020,420 = 1,020,420/x
  3. Step 3: Cross multiply
    649,581x = 1,020,420 × 1,020,420
  4. Step 4: Simplify right side
    649,581x = 1,041,256,976,400
  5. Step 5: Solve for x
    x = 1,041,256,976,400/649,581
  6. Step 6: Final answer
    x = 1,602,967.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.