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Finding the Third Proportional to 803,140 and 1,070,712

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Solution

The third proportional to 803,140 and 1,070,712 is: 1,427,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,140 : 1,070,712 = 1,070,712 : x
  2. Step 2: Convert to fraction form
    803,140/1,070,712 = 1,070,712/x
  3. Step 3: Cross multiply
    803,140x = 1,070,712 × 1,070,712
  4. Step 4: Simplify right side
    803,140x = 1,146,424,186,944
  5. Step 5: Solve for x
    x = 1,146,424,186,944/803,140
  6. Step 6: Final answer
    x = 1,427,427.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.