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Finding the Third Proportional to 249,291 and 528,490

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Solution

The third proportional to 249,291 and 528,490 is: 1,120,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,291 : 528,490 = 528,490 : x
  2. Step 2: Convert to fraction form
    249,291/528,490 = 528,490/x
  3. Step 3: Cross multiply
    249,291x = 528,490 × 528,490
  4. Step 4: Simplify right side
    249,291x = 279,301,680,100
  5. Step 5: Solve for x
    x = 279,301,680,100/249,291
  6. Step 6: Final answer
    x = 1,120,384.13

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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.