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Finding the Third Proportional to 249,453 and 391,603.50

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Solution

The third proportional to 249,453 and 391,603.50 is: 614,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,453 : 391,603.50 = 391,603.50 : x
  2. Step 2: Convert to fraction form
    249,453/391,603.50 = 391,603.50/x
  3. Step 3: Cross multiply
    249,453x = 391,603.50 × 391,603.50
  4. Step 4: Simplify right side
    249,453x = 153,353,301,212.25
  5. Step 5: Solve for x
    x = 153,353,301,212.25/249,453
  6. Step 6: Final answer
    x = 614,758.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.