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Finding the Third Proportional to 720,835 and 1,038,340

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Solution

The third proportional to 720,835 and 1,038,340 is: 1,495,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,835 : 1,038,340 = 1,038,340 : x
  2. Step 2: Convert to fraction form
    720,835/1,038,340 = 1,038,340/x
  3. Step 3: Cross multiply
    720,835x = 1,038,340 × 1,038,340
  4. Step 4: Simplify right side
    720,835x = 1,078,149,955,600
  5. Step 5: Solve for x
    x = 1,078,149,955,600/720,835
  6. Step 6: Final answer
    x = 1,495,695.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.