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Finding the Third Proportional to 487,548 and 778,554

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Solution

The third proportional to 487,548 and 778,554 is: 1,243,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,548 : 778,554 = 778,554 : x
  2. Step 2: Convert to fraction form
    487,548/778,554 = 778,554/x
  3. Step 3: Cross multiply
    487,548x = 778,554 × 778,554
  4. Step 4: Simplify right side
    487,548x = 606,146,330,916
  5. Step 5: Solve for x
    x = 606,146,330,916/487,548
  6. Step 6: Final answer
    x = 1,243,254.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.