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Finding the Third Proportional to 713,748 and 1,050,894

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Solution

The third proportional to 713,748 and 1,050,894 is: 1,547,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,748 : 1,050,894 = 1,050,894 : x
  2. Step 2: Convert to fraction form
    713,748/1,050,894 = 1,050,894/x
  3. Step 3: Cross multiply
    713,748x = 1,050,894 × 1,050,894
  4. Step 4: Simplify right side
    713,748x = 1,104,378,199,236
  5. Step 5: Solve for x
    x = 1,104,378,199,236/713,748
  6. Step 6: Final answer
    x = 1,547,294.28

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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.