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Finding the Third Proportional to 572,113.13 and 840,430.69

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Solution

The third proportional to 572,113.13 and 840,430.69 is: 1,234,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,113.13 : 840,430.69 = 840,430.69 : x
  2. Step 2: Convert to fraction form
    572,113.13/840,430.69 = 840,430.69/x
  3. Step 3: Cross multiply
    572,113.13x = 840,430.69 × 840,430.69
  4. Step 4: Simplify right side
    572,113.13x = 706,323,740,491.72
  5. Step 5: Solve for x
    x = 706,323,740,491.72/572,113.13
  6. Step 6: Final answer
    x = 1,234,587.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.