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Finding the Third Proportional to 349,820 and 553,053

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Solution

The third proportional to 349,820 and 553,053 is: 874,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,820 : 553,053 = 553,053 : x
  2. Step 2: Convert to fraction form
    349,820/553,053 = 553,053/x
  3. Step 3: Cross multiply
    349,820x = 553,053 × 553,053
  4. Step 4: Simplify right side
    349,820x = 305,867,620,809
  5. Step 5: Solve for x
    x = 305,867,620,809/349,820
  6. Step 6: Final answer
    x = 874,357.16

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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.