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Finding the Third Proportional to 261,547 and 554,480

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Solution

The third proportional to 261,547 and 554,480 is: 1,175,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,547 : 554,480 = 554,480 : x
  2. Step 2: Convert to fraction form
    261,547/554,480 = 554,480/x
  3. Step 3: Cross multiply
    261,547x = 554,480 × 554,480
  4. Step 4: Simplify right side
    261,547x = 307,448,070,400
  5. Step 5: Solve for x
    x = 307,448,070,400/261,547
  6. Step 6: Final answer
    x = 1,175,498.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.