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Finding the Third Proportional to 115,312 and 249,580

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Solution

The third proportional to 115,312 and 249,580 is: 540,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,312 : 249,580 = 249,580 : x
  2. Step 2: Convert to fraction form
    115,312/249,580 = 249,580/x
  3. Step 3: Cross multiply
    115,312x = 249,580 × 249,580
  4. Step 4: Simplify right side
    115,312x = 62,290,176,400
  5. Step 5: Solve for x
    x = 62,290,176,400/115,312
  6. Step 6: Final answer
    x = 540,188.15

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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.