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Finding the Third Proportional to 249,920 and 539,776

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Solution

The third proportional to 249,920 and 539,776 is: 1,165,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,920 : 539,776 = 539,776 : x
  2. Step 2: Convert to fraction form
    249,920/539,776 = 539,776/x
  3. Step 3: Cross multiply
    249,920x = 539,776 × 539,776
  4. Step 4: Simplify right side
    249,920x = 291,358,130,176
  5. Step 5: Solve for x
    x = 291,358,130,176/249,920
  6. Step 6: Final answer
    x = 1,165,805.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.