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Finding the Third Proportional to 359,064 and 777,560

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Solution

The third proportional to 359,064 and 777,560 is: 1,683,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,064 : 777,560 = 777,560 : x
  2. Step 2: Convert to fraction form
    359,064/777,560 = 777,560/x
  3. Step 3: Cross multiply
    359,064x = 777,560 × 777,560
  4. Step 4: Simplify right side
    359,064x = 604,599,553,600
  5. Step 5: Solve for x
    x = 604,599,553,600/359,064
  6. Step 6: Final answer
    x = 1,683,821.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.