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Finding the Third Proportional to 249,071.50 and 515,864.50

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Solution

The third proportional to 249,071.50 and 515,864.50 is: 1,068,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,071.50 : 515,864.50 = 515,864.50 : x
  2. Step 2: Convert to fraction form
    249,071.50/515,864.50 = 515,864.50/x
  3. Step 3: Cross multiply
    249,071.50x = 515,864.50 × 515,864.50
  4. Step 4: Simplify right side
    249,071.50x = 266,116,182,360.25
  5. Step 5: Solve for x
    x = 266,116,182,360.25/249,071.50
  6. Step 6: Final answer
    x = 1,068,432.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.