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Finding the Third Proportional to 249,975 and 549,978

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Solution

The third proportional to 249,975 and 549,978 is: 1,210,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,975 : 549,978 = 549,978 : x
  2. Step 2: Convert to fraction form
    249,975/549,978 = 549,978/x
  3. Step 3: Cross multiply
    249,975x = 549,978 × 549,978
  4. Step 4: Simplify right side
    249,975x = 302,475,800,484
  5. Step 5: Solve for x
    x = 302,475,800,484/249,975
  6. Step 6: Final answer
    x = 1,210,024.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.