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Finding the Third Proportional to 572,332.50 and 911,044.13

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Solution

The third proportional to 572,332.50 and 911,044.13 is: 1,450,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,332.50 : 911,044.13 = 911,044.13 : x
  2. Step 2: Convert to fraction form
    572,332.50/911,044.13 = 911,044.13/x
  3. Step 3: Cross multiply
    572,332.50x = 911,044.13 × 911,044.13
  4. Step 4: Simplify right side
    572,332.50x = 830,001,397,697.02
  5. Step 5: Solve for x
    x = 830,001,397,697.02/572,332.50
  6. Step 6: Final answer
    x = 1,450,208.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.