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Finding the Third Proportional to 249,289 and 528,486

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Solution

The third proportional to 249,289 and 528,486 is: 1,120,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,289 : 528,486 = 528,486 : x
  2. Step 2: Convert to fraction form
    249,289/528,486 = 528,486/x
  3. Step 3: Cross multiply
    249,289x = 528,486 × 528,486
  4. Step 4: Simplify right side
    249,289x = 279,297,452,196
  5. Step 5: Solve for x
    x = 279,297,452,196/249,289
  6. Step 6: Final answer
    x = 1,120,376.16

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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.