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Finding the Third Proportional to 502,506 and 778,695.75

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Solution

The third proportional to 502,506 and 778,695.75 is: 1,206,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,506 : 778,695.75 = 778,695.75 : x
  2. Step 2: Convert to fraction form
    502,506/778,695.75 = 778,695.75/x
  3. Step 3: Cross multiply
    502,506x = 778,695.75 × 778,695.75
  4. Step 4: Simplify right side
    502,506x = 606,367,071,068.06
  5. Step 5: Solve for x
    x = 606,367,071,068.06/502,506
  6. Step 6: Final answer
    x = 1,206,686.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.