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Finding the Third Proportional to 162,420 and 249,973.50

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Solution

The third proportional to 162,420 and 249,973.50 is: 384,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,420 : 249,973.50 = 249,973.50 : x
  2. Step 2: Convert to fraction form
    162,420/249,973.50 = 249,973.50/x
  3. Step 3: Cross multiply
    162,420x = 249,973.50 × 249,973.50
  4. Step 4: Simplify right side
    162,420x = 62,486,750,702.25
  5. Step 5: Solve for x
    x = 62,486,750,702.25/162,420
  6. Step 6: Final answer
    x = 384,723.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.