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Finding the Third Proportional to 358,988 and 777,412

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Solution

The third proportional to 358,988 and 777,412 is: 1,683,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,988 : 777,412 = 777,412 : x
  2. Step 2: Convert to fraction form
    358,988/777,412 = 777,412/x
  3. Step 3: Cross multiply
    358,988x = 777,412 × 777,412
  4. Step 4: Simplify right side
    358,988x = 604,369,417,744
  5. Step 5: Solve for x
    x = 604,369,417,744/358,988
  6. Step 6: Final answer
    x = 1,683,536.55

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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.