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Finding the Third Proportional to 140,312 and 249,457.75

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Solution

The third proportional to 140,312 and 249,457.75 is: 443,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,312 : 249,457.75 = 249,457.75 : x
  2. Step 2: Convert to fraction form
    140,312/249,457.75 = 249,457.75/x
  3. Step 3: Cross multiply
    140,312x = 249,457.75 × 249,457.75
  4. Step 4: Simplify right side
    140,312x = 62,229,169,035.06
  5. Step 5: Solve for x
    x = 62,229,169,035.06/140,312
  6. Step 6: Final answer
    x = 443,505.68

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.