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Finding the Third Proportional to 770,570 and 1,220,106

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Solution

The third proportional to 770,570 and 1,220,106 is: 1,931,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,570 : 1,220,106 = 1,220,106 : x
  2. Step 2: Convert to fraction form
    770,570/1,220,106 = 1,220,106/x
  3. Step 3: Cross multiply
    770,570x = 1,220,106 × 1,220,106
  4. Step 4: Simplify right side
    770,570x = 1,488,658,651,236
  5. Step 5: Solve for x
    x = 1,488,658,651,236/770,570
  6. Step 6: Final answer
    x = 1,931,892.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.