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Finding the Third Proportional to 917,730 and 1,290,070.13

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Solution

The third proportional to 917,730 and 1,290,070.13 is: 1,813,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,730 : 1,290,070.13 = 1,290,070.13 : x
  2. Step 2: Convert to fraction form
    917,730/1,290,070.13 = 1,290,070.13/x
  3. Step 3: Cross multiply
    917,730x = 1,290,070.13 × 1,290,070.13
  4. Step 4: Simplify right side
    917,730x = 1,664,280,927,417.52
  5. Step 5: Solve for x
    x = 1,664,280,927,417.52/917,730
  6. Step 6: Final answer
    x = 1,813,475.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.