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Finding the Third Proportional to 553,046 and 879,382

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Solution

The third proportional to 553,046 and 879,382 is: 1,398,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,046 : 879,382 = 879,382 : x
  2. Step 2: Convert to fraction form
    553,046/879,382 = 879,382/x
  3. Step 3: Cross multiply
    553,046x = 879,382 × 879,382
  4. Step 4: Simplify right side
    553,046x = 773,312,701,924
  5. Step 5: Solve for x
    x = 773,312,701,924/553,046
  6. Step 6: Final answer
    x = 1,398,279.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.