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Finding the Third Proportional to 296,712 and 438,547.50

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Solution

The third proportional to 296,712 and 438,547.50 is: 648,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,712 : 438,547.50 = 438,547.50 : x
  2. Step 2: Convert to fraction form
    296,712/438,547.50 = 438,547.50/x
  3. Step 3: Cross multiply
    296,712x = 438,547.50 × 438,547.50
  4. Step 4: Simplify right side
    296,712x = 192,323,909,756.25
  5. Step 5: Solve for x
    x = 192,323,909,756.25/296,712
  6. Step 6: Final answer
    x = 648,183.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.